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Finding the Fourth Proportional to 7,166.17, 9,902.15 and 5,606.11

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Solution

The fourth proportional to 7,166.17, 9,902.15 and 5,606.11 is: 7,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.17 : 9,902.15 = 5,606.11 : x
  2. Step 2: Convert to fraction form
    7,166.17/9,902.15 = 5,606.11/x
  3. Step 3: Cross multiply
    7,166.17x = 9,902.15 × 5,606.11
  4. Step 4: Simplify right side
    7,166.17x = 55,512,542.14
  5. Step 5: Solve for x
    x = 55,512,542.14/7,166.17
  6. Step 6: Final answer
    x = 7,746.47

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