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Finding the Fourth Proportional to 10,432.82, 15,647.11 and 4,884.66

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Solution

The fourth proportional to 10,432.82, 15,647.11 and 4,884.66 is: 7,325.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.82 : 15,647.11 = 4,884.66 : x
  2. Step 2: Convert to fraction form
    10,432.82/15,647.11 = 4,884.66/x
  3. Step 3: Cross multiply
    10,432.82x = 15,647.11 × 4,884.66
  4. Step 4: Simplify right side
    10,432.82x = 76,430,800.12
  5. Step 5: Solve for x
    x = 76,430,800.12/10,432.82
  6. Step 6: Final answer
    x = 7,325.99

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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.