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Finding the Fourth Proportional to 11,652.46, 16,079.85 and 6,347.26

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Solution

The fourth proportional to 11,652.46, 16,079.85 and 6,347.26 is: 8,758.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.46 : 16,079.85 = 6,347.26 : x
  2. Step 2: Convert to fraction form
    11,652.46/16,079.85 = 6,347.26/x
  3. Step 3: Cross multiply
    11,652.46x = 16,079.85 × 6,347.26
  4. Step 4: Simplify right side
    11,652.46x = 102,062,988.71
  5. Step 5: Solve for x
    x = 102,062,988.71/11,652.46
  6. Step 6: Final answer
    x = 8,758.92

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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.