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Finding the Fourth Proportional to 12,008.86, 16,569 and 7,162.90

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Solution

The fourth proportional to 12,008.86, 16,569 and 7,162.90 is: 9,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.86 : 16,569 = 7,162.90 : x
  2. Step 2: Convert to fraction form
    12,008.86/16,569 = 7,162.90/x
  3. Step 3: Cross multiply
    12,008.86x = 16,569 × 7,162.90
  4. Step 4: Simplify right side
    12,008.86x = 118,682,090.10
  5. Step 5: Solve for x
    x = 118,682,090.10/12,008.86
  6. Step 6: Final answer
    x = 9,882.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.