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Finding the Fourth Proportional to 11,700.78, 16,128.90 and 8,711.88

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Solution

The fourth proportional to 11,700.78, 16,128.90 and 8,711.88 is: 12,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.78 : 16,128.90 = 8,711.88 : x
  2. Step 2: Convert to fraction form
    11,700.78/16,128.90 = 8,711.88/x
  3. Step 3: Cross multiply
    11,700.78x = 16,128.90 × 8,711.88
  4. Step 4: Simplify right side
    11,700.78x = 140,513,041.33
  5. Step 5: Solve for x
    x = 140,513,041.33/11,700.78
  6. Step 6: Final answer
    x = 12,008.86

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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.