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Finding the Fourth Proportional to 10,700.90, 16,048.92 and 5,151.42

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Solution

The fourth proportional to 10,700.90, 16,048.92 and 5,151.42 is: 7,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.90 : 16,048.92 = 5,151.42 : x
  2. Step 2: Convert to fraction form
    10,700.90/16,048.92 = 5,151.42/x
  3. Step 3: Cross multiply
    10,700.90x = 16,048.92 × 5,151.42
  4. Step 4: Simplify right side
    10,700.90x = 82,674,727.47
  5. Step 5: Solve for x
    x = 82,674,727.47/10,700.90
  6. Step 6: Final answer
    x = 7,725.96

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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.