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Finding the Fourth Proportional to 8,166.47, 12,251.74 and 2,323.04

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Solution

The fourth proportional to 8,166.47, 12,251.74 and 2,323.04 is: 3,485.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.47 : 12,251.74 = 2,323.04 : x
  2. Step 2: Convert to fraction form
    8,166.47/12,251.74 = 2,323.04/x
  3. Step 3: Cross multiply
    8,166.47x = 12,251.74 × 2,323.04
  4. Step 4: Simplify right side
    8,166.47x = 28,461,215.02
  5. Step 5: Solve for x
    x = 28,461,215.02/8,166.47
  6. Step 6: Final answer
    x = 3,485.13

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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.