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Finding the Fourth Proportional to 11,652.38, 16,079.88 and 6,347.06

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Solution

The fourth proportional to 11,652.38, 16,079.88 and 6,347.06 is: 8,758.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.38 : 16,079.88 = 6,347.06 : x
  2. Step 2: Convert to fraction form
    11,652.38/16,079.88 = 6,347.06/x
  3. Step 3: Cross multiply
    11,652.38x = 16,079.88 × 6,347.06
  4. Step 4: Simplify right side
    11,652.38x = 102,059,963.15
  5. Step 5: Solve for x
    x = 102,059,963.15/11,652.38
  6. Step 6: Final answer
    x = 8,758.72

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Why These Related Problems?

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