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Finding the Fourth Proportional to 10,957.96, 16,431.90 and 4,378.60

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Solution

The fourth proportional to 10,957.96, 16,431.90 and 4,378.60 is: 6,565.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.96 : 16,431.90 = 4,378.60 : x
  2. Step 2: Convert to fraction form
    10,957.96/16,431.90 = 4,378.60/x
  3. Step 3: Cross multiply
    10,957.96x = 16,431.90 × 4,378.60
  4. Step 4: Simplify right side
    10,957.96x = 71,948,717.34
  5. Step 5: Solve for x
    x = 71,948,717.34/10,957.96
  6. Step 6: Final answer
    x = 6,565.89

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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.