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Finding the Fourth Proportional to 10,332.66, 15,490.23 and 4,097.08

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Solution

The fourth proportional to 10,332.66, 15,490.23 and 4,097.08 is: 6,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.66 : 15,490.23 = 4,097.08 : x
  2. Step 2: Convert to fraction form
    10,332.66/15,490.23 = 4,097.08/x
  3. Step 3: Cross multiply
    10,332.66x = 15,490.23 × 4,097.08
  4. Step 4: Simplify right side
    10,332.66x = 63,464,634.08
  5. Step 5: Solve for x
    x = 63,464,634.08/10,332.66
  6. Step 6: Final answer
    x = 6,142.14

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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.