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Finding the Fourth Proportional to 7,111,597.84, 9,813,930.24 and 3,848,341.12

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Solution

The fourth proportional to 7,111,597.84, 9,813,930.24 and 3,848,341.12 is: 5,310,670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111,597.84 : 9,813,930.24 = 3,848,341.12 : x
  2. Step 2: Convert to fraction form
    7,111,597.84/9,813,930.24 = 3,848,341.12/x
  3. Step 3: Cross multiply
    7,111,597.84x = 9,813,930.24 × 3,848,341.12
  4. Step 4: Simplify right side
    7,111,597.84x = 37,767,351,291,403.47
  5. Step 5: Solve for x
    x = 37,767,351,291,403.47/7,111,597.84
  6. Step 6: Final answer
    x = 5,310,670.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.