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Finding the Fourth Proportional to 8,382.31, 12,570.35 and 2,457.67

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Solution

The fourth proportional to 8,382.31, 12,570.35 and 2,457.67 is: 3,685.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.31 : 12,570.35 = 2,457.67 : x
  2. Step 2: Convert to fraction form
    8,382.31/12,570.35 = 2,457.67/x
  3. Step 3: Cross multiply
    8,382.31x = 12,570.35 × 2,457.67
  4. Step 4: Simplify right side
    8,382.31x = 30,893,772.08
  5. Step 5: Solve for x
    x = 30,893,772.08/8,382.31
  6. Step 6: Final answer
    x = 3,685.59

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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.