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Finding the Fourth Proportional to 6,193.28, 8,545.08 and 5,405.84

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Solution

The fourth proportional to 6,193.28, 8,545.08 and 5,405.84 is: 7,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.28 : 8,545.08 = 5,405.84 : x
  2. Step 2: Convert to fraction form
    6,193.28/8,545.08 = 5,405.84/x
  3. Step 3: Cross multiply
    6,193.28x = 8,545.08 × 5,405.84
  4. Step 4: Simplify right side
    6,193.28x = 46,193,335.27
  5. Step 5: Solve for x
    x = 46,193,335.27/6,193.28
  6. Step 6: Final answer
    x = 7,458.62

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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.