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Finding the Fourth Proportional to 10,314.97, 15,472.41 and 7,019.89

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Solution

The fourth proportional to 10,314.97, 15,472.41 and 7,019.89 is: 10,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.97 : 15,472.41 = 7,019.89 : x
  2. Step 2: Convert to fraction form
    10,314.97/15,472.41 = 7,019.89/x
  3. Step 3: Cross multiply
    10,314.97x = 15,472.41 × 7,019.89
  4. Step 4: Simplify right side
    10,314.97x = 108,614,616.23
  5. Step 5: Solve for x
    x = 108,614,616.23/10,314.97
  6. Step 6: Final answer
    x = 10,529.80

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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.