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Finding the Fourth Proportional to 6,192.80, 8,545.68 and 5,697.44

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Solution

The fourth proportional to 6,192.80, 8,545.68 and 5,697.44 is: 7,862.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.80 : 8,545.68 = 5,697.44 : x
  2. Step 2: Convert to fraction form
    6,192.80/8,545.68 = 5,697.44/x
  3. Step 3: Cross multiply
    6,192.80x = 8,545.68 × 5,697.44
  4. Step 4: Simplify right side
    6,192.80x = 48,688,499.06
  5. Step 5: Solve for x
    x = 48,688,499.06/6,192.80
  6. Step 6: Final answer
    x = 7,862.11

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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.