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Finding the Fourth Proportional to 8,211.57, 12,317.96 and 2,368.63

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Solution

The fourth proportional to 8,211.57, 12,317.96 and 2,368.63 is: 3,553.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.57 : 12,317.96 = 2,368.63 : x
  2. Step 2: Convert to fraction form
    8,211.57/12,317.96 = 2,368.63/x
  3. Step 3: Cross multiply
    8,211.57x = 12,317.96 × 2,368.63
  4. Step 4: Simplify right side
    8,211.57x = 29,176,689.59
  5. Step 5: Solve for x
    x = 29,176,689.59/8,211.57
  6. Step 6: Final answer
    x = 3,553.12

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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.