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Finding the Fourth Proportional to 8,494.92, 12,742.20 and 4,545

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Solution

The fourth proportional to 8,494.92, 12,742.20 and 4,545 is: 6,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.92 : 12,742.20 = 4,545 : x
  2. Step 2: Convert to fraction form
    8,494.92/12,742.20 = 4,545/x
  3. Step 3: Cross multiply
    8,494.92x = 12,742.20 × 4,545
  4. Step 4: Simplify right side
    8,494.92x = 57,913,299
  5. Step 5: Solve for x
    x = 57,913,299/8,494.92
  6. Step 6: Final answer
    x = 6,817.40

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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.