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Finding the Fourth Proportional to 11,865.70, 16,374 and 6,560.20

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Solution

The fourth proportional to 11,865.70, 16,374 and 6,560.20 is: 9,052.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.70 : 16,374 = 6,560.20 : x
  2. Step 2: Convert to fraction form
    11,865.70/16,374 = 6,560.20/x
  3. Step 3: Cross multiply
    11,865.70x = 16,374 × 6,560.20
  4. Step 4: Simplify right side
    11,865.70x = 107,416,714.80
  5. Step 5: Solve for x
    x = 107,416,714.80/11,865.70
  6. Step 6: Final answer
    x = 9,052.71

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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.