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Finding the Fourth Proportional to 10,143.97, 15,205.18 and 5,985.94

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Solution

The fourth proportional to 10,143.97, 15,205.18 and 5,985.94 is: 8,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.97 : 15,205.18 = 5,985.94 : x
  2. Step 2: Convert to fraction form
    10,143.97/15,205.18 = 5,985.94/x
  3. Step 3: Cross multiply
    10,143.97x = 15,205.18 × 5,985.94
  4. Step 4: Simplify right side
    10,143.97x = 91,017,295.17
  5. Step 5: Solve for x
    x = 91,017,295.17/10,143.97
  6. Step 6: Final answer
    x = 8,972.55

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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.