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Finding the Fourth Proportional to 7,444.50, 10,273.44 and 4,132.50

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Solution

The fourth proportional to 7,444.50, 10,273.44 and 4,132.50 is: 5,702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.50 : 10,273.44 = 4,132.50 : x
  2. Step 2: Convert to fraction form
    7,444.50/10,273.44 = 4,132.50/x
  3. Step 3: Cross multiply
    7,444.50x = 10,273.44 × 4,132.50
  4. Step 4: Simplify right side
    7,444.50x = 42,454,990.80
  5. Step 5: Solve for x
    x = 42,454,990.80/7,444.50
  6. Step 6: Final answer
    x = 5,702.87

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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.