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Finding the Fourth Proportional to 10,871.60, 16,307.20 and 3,475.96

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Solution

The fourth proportional to 10,871.60, 16,307.20 and 3,475.96 is: 5,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.60 : 16,307.20 = 3,475.96 : x
  2. Step 2: Convert to fraction form
    10,871.60/16,307.20 = 3,475.96/x
  3. Step 3: Cross multiply
    10,871.60x = 16,307.20 × 3,475.96
  4. Step 4: Simplify right side
    10,871.60x = 56,683,174.91
  5. Step 5: Solve for x
    x = 56,683,174.91/10,871.60
  6. Step 6: Final answer
    x = 5,213.88

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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.