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Finding the Fourth Proportional to 10,638.66, 15,959.62 and 3,711.54

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Solution

The fourth proportional to 10,638.66, 15,959.62 and 3,711.54 is: 5,567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.66 : 15,959.62 = 3,711.54 : x
  2. Step 2: Convert to fraction form
    10,638.66/15,959.62 = 3,711.54/x
  3. Step 3: Cross multiply
    10,638.66x = 15,959.62 × 3,711.54
  4. Step 4: Simplify right side
    10,638.66x = 59,234,768.01
  5. Step 5: Solve for x
    x = 59,234,768.01/10,638.66
  6. Step 6: Final answer
    x = 5,567.88

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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.