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Finding the Fourth Proportional to 8,382.06, 12,574.71 and 3,187.53

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Solution

The fourth proportional to 8,382.06, 12,574.71 and 3,187.53 is: 4,781.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.06 : 12,574.71 = 3,187.53 : x
  2. Step 2: Convert to fraction form
    8,382.06/12,574.71 = 3,187.53/x
  3. Step 3: Cross multiply
    8,382.06x = 12,574.71 × 3,187.53
  4. Step 4: Simplify right side
    8,382.06x = 40,082,265.37
  5. Step 5: Solve for x
    x = 40,082,265.37/8,382.06
  6. Step 6: Final answer
    x = 4,781.91

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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.