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Finding the Fourth Proportional to 7,543.64, 11,315.92 and 2,545.60

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Solution

The fourth proportional to 7,543.64, 11,315.92 and 2,545.60 is: 3,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.64 : 11,315.92 = 2,545.60 : x
  2. Step 2: Convert to fraction form
    7,543.64/11,315.92 = 2,545.60/x
  3. Step 3: Cross multiply
    7,543.64x = 11,315.92 × 2,545.60
  4. Step 4: Simplify right side
    7,543.64x = 28,805,805.95
  5. Step 5: Solve for x
    x = 28,805,805.95/7,543.64
  6. Step 6: Final answer
    x = 3,818.56

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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.