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Finding the Fourth Proportional to 5,264.56, 7,296.49 and 5,166.16

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Solution

The fourth proportional to 5,264.56, 7,296.49 and 5,166.16 is: 7,160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.56 : 7,296.49 = 5,166.16 : x
  2. Step 2: Convert to fraction form
    5,264.56/7,296.49 = 5,166.16/x
  3. Step 3: Cross multiply
    5,264.56x = 7,296.49 × 5,166.16
  4. Step 4: Simplify right side
    5,264.56x = 37,694,834.78
  5. Step 5: Solve for x
    x = 37,694,834.78/5,264.56
  6. Step 6: Final answer
    x = 7,160.11

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.