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Finding the Fourth Proportional to 12,335.68, 18,503.70 and 5,761

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Solution

The fourth proportional to 12,335.68, 18,503.70 and 5,761 is: 8,641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335.68 : 18,503.70 = 5,761 : x
  2. Step 2: Convert to fraction form
    12,335.68/18,503.70 = 5,761/x
  3. Step 3: Cross multiply
    12,335.68x = 18,503.70 × 5,761
  4. Step 4: Simplify right side
    12,335.68x = 106,599,815.70
  5. Step 5: Solve for x
    x = 106,599,815.70/12,335.68
  6. Step 6: Final answer
    x = 8,641.58

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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.