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Finding the Fourth Proportional to 7,877.93, 11,816.96 and 3,196.53

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Solution

The fourth proportional to 7,877.93, 11,816.96 and 3,196.53 is: 4,794.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.93 : 11,816.96 = 3,196.53 : x
  2. Step 2: Convert to fraction form
    7,877.93/11,816.96 = 3,196.53/x
  3. Step 3: Cross multiply
    7,877.93x = 11,816.96 × 3,196.53
  4. Step 4: Simplify right side
    7,877.93x = 37,773,251.17
  5. Step 5: Solve for x
    x = 37,773,251.17/7,877.93
  6. Step 6: Final answer
    x = 4,794.82

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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.