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Finding the Fourth Proportional to 11,651.60, 16,079.24 and 6,346.46

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Solution

The fourth proportional to 11,651.60, 16,079.24 and 6,346.46 is: 8,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.60 : 16,079.24 = 6,346.46 : x
  2. Step 2: Convert to fraction form
    11,651.60/16,079.24 = 6,346.46/x
  3. Step 3: Cross multiply
    11,651.60x = 16,079.24 × 6,346.46
  4. Step 4: Simplify right side
    11,651.60x = 102,046,253.49
  5. Step 5: Solve for x
    x = 102,046,253.49/11,651.60
  6. Step 6: Final answer
    x = 8,758.13

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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.