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Finding the Fourth Proportional to 10,046.97, 13,864.14 and 5,798.21

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Solution

The fourth proportional to 10,046.97, 13,864.14 and 5,798.21 is: 8,001.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.97 : 13,864.14 = 5,798.21 : x
  2. Step 2: Convert to fraction form
    10,046.97/13,864.14 = 5,798.21/x
  3. Step 3: Cross multiply
    10,046.97x = 13,864.14 × 5,798.21
  4. Step 4: Simplify right side
    10,046.97x = 80,387,195.19
  5. Step 5: Solve for x
    x = 80,387,195.19/10,046.97
  6. Step 6: Final answer
    x = 8,001.14

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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.