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Finding the Fourth Proportional to 10,712.70, 16,061.85 and 4,866.30

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Solution

The fourth proportional to 10,712.70, 16,061.85 and 4,866.30 is: 7,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.70 : 16,061.85 = 4,866.30 : x
  2. Step 2: Convert to fraction form
    10,712.70/16,061.85 = 4,866.30/x
  3. Step 3: Cross multiply
    10,712.70x = 16,061.85 × 4,866.30
  4. Step 4: Simplify right side
    10,712.70x = 78,161,780.66
  5. Step 5: Solve for x
    x = 78,161,780.66/10,712.70
  6. Step 6: Final answer
    x = 7,296.18

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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.