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Finding the Fourth Proportional to 10,298.13, 15,438.02 and 3,722.85

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Solution

The fourth proportional to 10,298.13, 15,438.02 and 3,722.85 is: 5,580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.13 : 15,438.02 = 3,722.85 : x
  2. Step 2: Convert to fraction form
    10,298.13/15,438.02 = 3,722.85/x
  3. Step 3: Cross multiply
    10,298.13x = 15,438.02 × 3,722.85
  4. Step 4: Simplify right side
    10,298.13x = 57,473,432.76
  5. Step 5: Solve for x
    x = 57,473,432.76/10,298.13
  6. Step 6: Final answer
    x = 5,580.96

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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.