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Finding the Fourth Proportional to 10,002.64, 15,010.44 and 5,628.64

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Solution

The fourth proportional to 10,002.64, 15,010.44 and 5,628.64 is: 8,446.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.64 : 15,010.44 = 5,628.64 : x
  2. Step 2: Convert to fraction form
    10,002.64/15,010.44 = 5,628.64/x
  3. Step 3: Cross multiply
    10,002.64x = 15,010.44 × 5,628.64
  4. Step 4: Simplify right side
    10,002.64x = 84,488,363.00
  5. Step 5: Solve for x
    x = 84,488,363.00/10,002.64
  6. Step 6: Final answer
    x = 8,446.61

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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.