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Finding the Fourth Proportional to 10,763.49, 16,145.13 and 6,377.79

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Solution

The fourth proportional to 10,763.49, 16,145.13 and 6,377.79 is: 9,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.49 : 16,145.13 = 6,377.79 : x
  2. Step 2: Convert to fraction form
    10,763.49/16,145.13 = 6,377.79/x
  3. Step 3: Cross multiply
    10,763.49x = 16,145.13 × 6,377.79
  4. Step 4: Simplify right side
    10,763.49x = 102,970,248.66
  5. Step 5: Solve for x
    x = 102,970,248.66/10,763.49
  6. Step 6: Final answer
    x = 9,566.62

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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.