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Finding the Fourth Proportional to 8,214.60, 12,323.90 and 2,371.08

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Solution

The fourth proportional to 8,214.60, 12,323.90 and 2,371.08 is: 3,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.60 : 12,323.90 = 2,371.08 : x
  2. Step 2: Convert to fraction form
    8,214.60/12,323.90 = 2,371.08/x
  3. Step 3: Cross multiply
    8,214.60x = 12,323.90 × 2,371.08
  4. Step 4: Simplify right side
    8,214.60x = 29,220,952.81
  5. Step 5: Solve for x
    x = 29,220,952.81/8,214.60
  6. Step 6: Final answer
    x = 3,557.20

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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.