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Finding the Fourth Proportional to 8,214.76, 12,321.95 and 2,371.87

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Solution

The fourth proportional to 8,214.76, 12,321.95 and 2,371.87 is: 3,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.76 : 12,321.95 = 2,371.87 : x
  2. Step 2: Convert to fraction form
    8,214.76/12,321.95 = 2,371.87/x
  3. Step 3: Cross multiply
    8,214.76x = 12,321.95 × 2,371.87
  4. Step 4: Simplify right side
    8,214.76x = 29,226,038.67
  5. Step 5: Solve for x
    x = 29,226,038.67/8,214.76
  6. Step 6: Final answer
    x = 3,557.75

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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.