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Finding the Fourth Proportional to 8,382.53, 12,574.70 and 3,116.91

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Solution

The fourth proportional to 8,382.53, 12,574.70 and 3,116.91 is: 4,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.53 : 12,574.70 = 3,116.91 : x
  2. Step 2: Convert to fraction form
    8,382.53/12,574.70 = 3,116.91/x
  3. Step 3: Cross multiply
    8,382.53x = 12,574.70 × 3,116.91
  4. Step 4: Simplify right side
    8,382.53x = 39,194,208.18
  5. Step 5: Solve for x
    x = 39,194,208.18/8,382.53
  6. Step 6: Final answer
    x = 4,675.70

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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.