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Finding the Fourth Proportional to 10,438.73, 15,658.08 and 5,440.06

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Solution

The fourth proportional to 10,438.73, 15,658.08 and 5,440.06 is: 8,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.73 : 15,658.08 = 5,440.06 : x
  2. Step 2: Convert to fraction form
    10,438.73/15,658.08 = 5,440.06/x
  3. Step 3: Cross multiply
    10,438.73x = 15,658.08 × 5,440.06
  4. Step 4: Simplify right side
    10,438.73x = 85,180,894.68
  5. Step 5: Solve for x
    x = 85,180,894.68/10,438.73
  6. Step 6: Final answer
    x = 8,160.08

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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.