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Finding the Fourth Proportional to 10,229.28, 15,312.06 and 7,883.20

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Solution

The fourth proportional to 10,229.28, 15,312.06 and 7,883.20 is: 11,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.28 : 15,312.06 = 7,883.20 : x
  2. Step 2: Convert to fraction form
    10,229.28/15,312.06 = 7,883.20/x
  3. Step 3: Cross multiply
    10,229.28x = 15,312.06 × 7,883.20
  4. Step 4: Simplify right side
    10,229.28x = 120,708,031.39
  5. Step 5: Solve for x
    x = 120,708,031.39/10,229.28
  6. Step 6: Final answer
    x = 11,800.25

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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.