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Finding the Fourth Proportional to 8,117.46, 12,167.28 and 5,302.82

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Solution

The fourth proportional to 8,117.46, 12,167.28 and 5,302.82 is: 7,948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.46 : 12,167.28 = 5,302.82 : x
  2. Step 2: Convert to fraction form
    8,117.46/12,167.28 = 5,302.82/x
  3. Step 3: Cross multiply
    8,117.46x = 12,167.28 × 5,302.82
  4. Step 4: Simplify right side
    8,117.46x = 64,520,926.15
  5. Step 5: Solve for x
    x = 64,520,926.15/8,117.46
  6. Step 6: Final answer
    x = 7,948.41

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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.