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Finding the Fourth Proportional to 10,438.76, 15,660.12 and 5,503.74

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Solution

The fourth proportional to 10,438.76, 15,660.12 and 5,503.74 is: 8,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.76 : 15,660.12 = 5,503.74 : x
  2. Step 2: Convert to fraction form
    10,438.76/15,660.12 = 5,503.74/x
  3. Step 3: Cross multiply
    10,438.76x = 15,660.12 × 5,503.74
  4. Step 4: Simplify right side
    10,438.76x = 86,189,228.85
  5. Step 5: Solve for x
    x = 86,189,228.85/10,438.76
  6. Step 6: Final answer
    x = 8,256.65

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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.