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Finding the Fourth Proportional to 8,357.30, 12,531.62 and 2,513.14

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Solution

The fourth proportional to 8,357.30, 12,531.62 and 2,513.14 is: 3,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.30 : 12,531.62 = 2,513.14 : x
  2. Step 2: Convert to fraction form
    8,357.30/12,531.62 = 2,513.14/x
  3. Step 3: Cross multiply
    8,357.30x = 12,531.62 × 2,513.14
  4. Step 4: Simplify right side
    8,357.30x = 31,493,715.49
  5. Step 5: Solve for x
    x = 31,493,715.49/8,357.30
  6. Step 6: Final answer
    x = 3,768.41

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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.