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Finding the Fourth Proportional to 10,438.67, 15,652.64 and 3,417.80

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Solution

The fourth proportional to 10,438.67, 15,652.64 and 3,417.80 is: 5,124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.67 : 15,652.64 = 3,417.80 : x
  2. Step 2: Convert to fraction form
    10,438.67/15,652.64 = 3,417.80/x
  3. Step 3: Cross multiply
    10,438.67x = 15,652.64 × 3,417.80
  4. Step 4: Simplify right side
    10,438.67x = 53,497,523.27
  5. Step 5: Solve for x
    x = 53,497,523.27/10,438.67
  6. Step 6: Final answer
    x = 5,124.94

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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.