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Finding the Fourth Proportional to 10,438.76, 15,660.34 and 3,865

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Solution

The fourth proportional to 10,438.76, 15,660.34 and 3,865 is: 5,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.76 : 15,660.34 = 3,865 : x
  2. Step 2: Convert to fraction form
    10,438.76/15,660.34 = 3,865/x
  3. Step 3: Cross multiply
    10,438.76x = 15,660.34 × 3,865
  4. Step 4: Simplify right side
    10,438.76x = 60,527,214.10
  5. Step 5: Solve for x
    x = 60,527,214.10/10,438.76
  6. Step 6: Final answer
    x = 5,798.31

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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.