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Finding the Fourth Proportional to 7,877.53, 11,820.39 and 5,103.48

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Solution

The fourth proportional to 7,877.53, 11,820.39 and 5,103.48 is: 7,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.53 : 11,820.39 = 5,103.48 : x
  2. Step 2: Convert to fraction form
    7,877.53/11,820.39 = 5,103.48/x
  3. Step 3: Cross multiply
    7,877.53x = 11,820.39 × 5,103.48
  4. Step 4: Simplify right side
    7,877.53x = 60,325,123.96
  5. Step 5: Solve for x
    x = 60,325,123.96/7,877.53
  6. Step 6: Final answer
    x = 7,657.87

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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.