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Finding the Fourth Proportional to 10,866.28, 14,989.72 and 6,885.96

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Solution

The fourth proportional to 10,866.28, 14,989.72 and 6,885.96 is: 9,498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.28 : 14,989.72 = 6,885.96 : x
  2. Step 2: Convert to fraction form
    10,866.28/14,989.72 = 6,885.96/x
  3. Step 3: Cross multiply
    10,866.28x = 14,989.72 × 6,885.96
  4. Step 4: Simplify right side
    10,866.28x = 103,218,612.33
  5. Step 5: Solve for x
    x = 103,218,612.33/10,866.28
  6. Step 6: Final answer
    x = 9,498.98

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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.