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Finding the Fourth Proportional to 10,204.61, 15,282.03 and 6,032.15

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Solution

The fourth proportional to 10,204.61, 15,282.03 and 6,032.15 is: 9,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.61 : 15,282.03 = 6,032.15 : x
  2. Step 2: Convert to fraction form
    10,204.61/15,282.03 = 6,032.15/x
  3. Step 3: Cross multiply
    10,204.61x = 15,282.03 × 6,032.15
  4. Step 4: Simplify right side
    10,204.61x = 92,183,497.26
  5. Step 5: Solve for x
    x = 92,183,497.26/10,204.61
  6. Step 6: Final answer
    x = 9,033.51

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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.