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Finding the Fourth Proportional to 10,957.60, 16,414.80 and 6,335.20

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Solution

The fourth proportional to 10,957.60, 16,414.80 and 6,335.20 is: 9,490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.60 : 16,414.80 = 6,335.20 : x
  2. Step 2: Convert to fraction form
    10,957.60/16,414.80 = 6,335.20/x
  3. Step 3: Cross multiply
    10,957.60x = 16,414.80 × 6,335.20
  4. Step 4: Simplify right side
    10,957.60x = 103,991,040.96
  5. Step 5: Solve for x
    x = 103,991,040.96/10,957.60
  6. Step 6: Final answer
    x = 9,490.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.