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Finding the Fourth Proportional to 11,191.84, 15,441.94 and 7,208.16

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Solution

The fourth proportional to 11,191.84, 15,441.94 and 7,208.16 is: 9,945.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.84 : 15,441.94 = 7,208.16 : x
  2. Step 2: Convert to fraction form
    11,191.84/15,441.94 = 7,208.16/x
  3. Step 3: Cross multiply
    11,191.84x = 15,441.94 × 7,208.16
  4. Step 4: Simplify right side
    11,191.84x = 111,307,925.33
  5. Step 5: Solve for x
    x = 111,307,925.33/11,191.84
  6. Step 6: Final answer
    x = 9,945.46

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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.