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Finding the Fourth Proportional to 10,332.77, 15,490.06 and 4,097.16

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Solution

The fourth proportional to 10,332.77, 15,490.06 and 4,097.16 is: 6,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.77 : 15,490.06 = 4,097.16 : x
  2. Step 2: Convert to fraction form
    10,332.77/15,490.06 = 4,097.16/x
  3. Step 3: Cross multiply
    10,332.77x = 15,490.06 × 4,097.16
  4. Step 4: Simplify right side
    10,332.77x = 63,465,254.23
  5. Step 5: Solve for x
    x = 63,465,254.23/10,332.77
  6. Step 6: Final answer
    x = 6,142.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.