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Finding the Fourth Proportional to 8,574.30, 12,861.45 and 5,293.80

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Solution

The fourth proportional to 8,574.30, 12,861.45 and 5,293.80 is: 7,940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.30 : 12,861.45 = 5,293.80 : x
  2. Step 2: Convert to fraction form
    8,574.30/12,861.45 = 5,293.80/x
  3. Step 3: Cross multiply
    8,574.30x = 12,861.45 × 5,293.80
  4. Step 4: Simplify right side
    8,574.30x = 68,085,944.01
  5. Step 5: Solve for x
    x = 68,085,944.01/8,574.30
  6. Step 6: Final answer
    x = 7,940.70

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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.