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Finding the Fourth Proportional to 10,710.40, 16,069.20 and 5,167.12

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Solution

The fourth proportional to 10,710.40, 16,069.20 and 5,167.12 is: 7,752.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.40 : 16,069.20 = 5,167.12 : x
  2. Step 2: Convert to fraction form
    10,710.40/16,069.20 = 5,167.12/x
  3. Step 3: Cross multiply
    10,710.40x = 16,069.20 × 5,167.12
  4. Step 4: Simplify right side
    10,710.40x = 83,031,484.70
  5. Step 5: Solve for x
    x = 83,031,484.70/10,710.40
  6. Step 6: Final answer
    x = 7,752.42

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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.