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Finding the Fourth Proportional to 8,347.68, 12,523.05 and 2,801.61

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Solution

The fourth proportional to 8,347.68, 12,523.05 and 2,801.61 is: 4,202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.68 : 12,523.05 = 2,801.61 : x
  2. Step 2: Convert to fraction form
    8,347.68/12,523.05 = 2,801.61/x
  3. Step 3: Cross multiply
    8,347.68x = 12,523.05 × 2,801.61
  4. Step 4: Simplify right side
    8,347.68x = 35,084,702.11
  5. Step 5: Solve for x
    x = 35,084,702.11/8,347.68
  6. Step 6: Final answer
    x = 4,202.93

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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.