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Finding the Fourth Proportional to 11,310.05, 15,597.64 and 7,061.49

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Solution

The fourth proportional to 11,310.05, 15,597.64 and 7,061.49 is: 9,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.05 : 15,597.64 = 7,061.49 : x
  2. Step 2: Convert to fraction form
    11,310.05/15,597.64 = 7,061.49/x
  3. Step 3: Cross multiply
    11,310.05x = 15,597.64 × 7,061.49
  4. Step 4: Simplify right side
    11,310.05x = 110,142,561.23
  5. Step 5: Solve for x
    x = 110,142,561.23/11,310.05
  6. Step 6: Final answer
    x = 9,738.47

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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.