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Finding the Fourth Proportional to 10,438.56, 15,647.28 and 6,545.68

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Solution

The fourth proportional to 10,438.56, 15,647.28 and 6,545.68 is: 9,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.56 : 15,647.28 = 6,545.68 : x
  2. Step 2: Convert to fraction form
    10,438.56/15,647.28 = 6,545.68/x
  3. Step 3: Cross multiply
    10,438.56x = 15,647.28 × 6,545.68
  4. Step 4: Simplify right side
    10,438.56x = 102,422,087.75
  5. Step 5: Solve for x
    x = 102,422,087.75/10,438.56
  6. Step 6: Final answer
    x = 9,811.90

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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.