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Finding the Fourth Proportional to 10,707.80, 16,053.49 and 4,463.91

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Solution

The fourth proportional to 10,707.80, 16,053.49 and 4,463.91 is: 6,692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.80 : 16,053.49 = 4,463.91 : x
  2. Step 2: Convert to fraction form
    10,707.80/16,053.49 = 4,463.91/x
  3. Step 3: Cross multiply
    10,707.80x = 16,053.49 × 4,463.91
  4. Step 4: Simplify right side
    10,707.80x = 71,661,340.13
  5. Step 5: Solve for x
    x = 71,661,340.13/10,707.80
  6. Step 6: Final answer
    x = 6,692.45

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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.