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Finding the Fourth Proportional to 8,191.53, 12,283.04 and 2,924.51

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Solution

The fourth proportional to 8,191.53, 12,283.04 and 2,924.51 is: 4,385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.53 : 12,283.04 = 2,924.51 : x
  2. Step 2: Convert to fraction form
    8,191.53/12,283.04 = 2,924.51/x
  3. Step 3: Cross multiply
    8,191.53x = 12,283.04 × 2,924.51
  4. Step 4: Simplify right side
    8,191.53x = 35,921,819.21
  5. Step 5: Solve for x
    x = 35,921,819.21/8,191.53
  6. Step 6: Final answer
    x = 4,385.24

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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.