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Finding the Fourth Proportional to 10,037.49, 13,854.03 and 6,680.44

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Solution

The fourth proportional to 10,037.49, 13,854.03 and 6,680.44 is: 9,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.49 : 13,854.03 = 6,680.44 : x
  2. Step 2: Convert to fraction form
    10,037.49/13,854.03 = 6,680.44/x
  3. Step 3: Cross multiply
    10,037.49x = 13,854.03 × 6,680.44
  4. Step 4: Simplify right side
    10,037.49x = 92,551,016.17
  5. Step 5: Solve for x
    x = 92,551,016.17/10,037.49
  6. Step 6: Final answer
    x = 9,220.53

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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.