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Finding the Fourth Proportional to 10,036.97, 15,069.24 and 5,109.92

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Solution

The fourth proportional to 10,036.97, 15,069.24 and 5,109.92 is: 7,671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.97 : 15,069.24 = 5,109.92 : x
  2. Step 2: Convert to fraction form
    10,036.97/15,069.24 = 5,109.92/x
  3. Step 3: Cross multiply
    10,036.97x = 15,069.24 × 5,109.92
  4. Step 4: Simplify right side
    10,036.97x = 77,002,535.51
  5. Step 5: Solve for x
    x = 77,002,535.51/10,036.97
  6. Step 6: Final answer
    x = 7,671.89

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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.