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Finding the Fourth Proportional to 10,046.71, 15,081 and 7,406.02

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Solution

The fourth proportional to 10,046.71, 15,081 and 7,406.02 is: 11,117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.71 : 15,081 = 7,406.02 : x
  2. Step 2: Convert to fraction form
    10,046.71/15,081 = 7,406.02/x
  3. Step 3: Cross multiply
    10,046.71x = 15,081 × 7,406.02
  4. Step 4: Simplify right side
    10,046.71x = 111,690,187.62
  5. Step 5: Solve for x
    x = 111,690,187.62/10,046.71
  6. Step 6: Final answer
    x = 11,117.09

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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.