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Finding the Fourth Proportional to 10,017.54, 13,822.92 and 6,037.20

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Solution

The fourth proportional to 10,017.54, 13,822.92 and 6,037.20 is: 8,330.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.54 : 13,822.92 = 6,037.20 : x
  2. Step 2: Convert to fraction form
    10,017.54/13,822.92 = 6,037.20/x
  3. Step 3: Cross multiply
    10,017.54x = 13,822.92 × 6,037.20
  4. Step 4: Simplify right side
    10,017.54x = 83,451,732.62
  5. Step 5: Solve for x
    x = 83,451,732.62/10,017.54
  6. Step 6: Final answer
    x = 8,330.56

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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.