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Finding the Fourth Proportional to 10,003.20, 14,983.20 and 8,275.20

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Solution

The fourth proportional to 10,003.20, 14,983.20 and 8,275.20 is: 12,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.20 : 14,983.20 = 8,275.20 : x
  2. Step 2: Convert to fraction form
    10,003.20/14,983.20 = 8,275.20/x
  3. Step 3: Cross multiply
    10,003.20x = 14,983.20 × 8,275.20
  4. Step 4: Simplify right side
    10,003.20x = 123,988,976.64
  5. Step 5: Solve for x
    x = 123,988,976.64/10,003.20
  6. Step 6: Final answer
    x = 12,394.93

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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.