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Finding the Fourth Proportional to 11,656.10, 16,079.10 and 6,939.47

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Solution

The fourth proportional to 11,656.10, 16,079.10 and 6,939.47 is: 9,572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.10 : 16,079.10 = 6,939.47 : x
  2. Step 2: Convert to fraction form
    11,656.10/16,079.10 = 6,939.47/x
  3. Step 3: Cross multiply
    11,656.10x = 16,079.10 × 6,939.47
  4. Step 4: Simplify right side
    11,656.10x = 111,580,432.08
  5. Step 5: Solve for x
    x = 111,580,432.08/11,656.10
  6. Step 6: Final answer
    x = 9,572.71

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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.