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Finding the Fourth Proportional to 10,433.96, 15,640 and 4,882.63

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Solution

The fourth proportional to 10,433.96, 15,640 and 4,882.63 is: 7,318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.96 : 15,640 = 4,882.63 : x
  2. Step 2: Convert to fraction form
    10,433.96/15,640 = 4,882.63/x
  3. Step 3: Cross multiply
    10,433.96x = 15,640 × 4,882.63
  4. Step 4: Simplify right side
    10,433.96x = 76,364,333.20
  5. Step 5: Solve for x
    x = 76,364,333.20/10,433.96
  6. Step 6: Final answer
    x = 7,318.83

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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.