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Finding the Fourth Proportional to 10,972.50, 15,142.05 and 6,004.50

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Solution

The fourth proportional to 10,972.50, 15,142.05 and 6,004.50 is: 8,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.50 : 15,142.05 = 6,004.50 : x
  2. Step 2: Convert to fraction form
    10,972.50/15,142.05 = 6,004.50/x
  3. Step 3: Cross multiply
    10,972.50x = 15,142.05 × 6,004.50
  4. Step 4: Simplify right side
    10,972.50x = 90,920,439.23
  5. Step 5: Solve for x
    x = 90,920,439.23/10,972.50
  6. Step 6: Final answer
    x = 8,286.21

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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.