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Finding the Fourth Proportional to 10,862.28, 14,991.56 and 6,883.76

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Solution

The fourth proportional to 10,862.28, 14,991.56 and 6,883.76 is: 9,500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.28 : 14,991.56 = 6,883.76 : x
  2. Step 2: Convert to fraction form
    10,862.28/14,991.56 = 6,883.76/x
  3. Step 3: Cross multiply
    10,862.28x = 14,991.56 × 6,883.76
  4. Step 4: Simplify right side
    10,862.28x = 103,198,301.07
  5. Step 5: Solve for x
    x = 103,198,301.07/10,862.28
  6. Step 6: Final answer
    x = 9,500.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.