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Finding the Fourth Proportional to 10,830.87, 16,237.17 and 6,670.71

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Solution

The fourth proportional to 10,830.87, 16,237.17 and 6,670.71 is: 10,000.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.87 : 16,237.17 = 6,670.71 : x
  2. Step 2: Convert to fraction form
    10,830.87/16,237.17 = 6,670.71/x
  3. Step 3: Cross multiply
    10,830.87x = 16,237.17 × 6,670.71
  4. Step 4: Simplify right side
    10,830.87x = 108,313,452.29
  5. Step 5: Solve for x
    x = 108,313,452.29/10,830.87
  6. Step 6: Final answer
    x = 10,000.44

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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.