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Finding the Fourth Proportional to 7,877.40, 11,816.10 and 5,404.73

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Solution

The fourth proportional to 7,877.40, 11,816.10 and 5,404.73 is: 8,107.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.40 : 11,816.10 = 5,404.73 : x
  2. Step 2: Convert to fraction form
    7,877.40/11,816.10 = 5,404.73/x
  3. Step 3: Cross multiply
    7,877.40x = 11,816.10 × 5,404.73
  4. Step 4: Simplify right side
    7,877.40x = 63,862,771.07
  5. Step 5: Solve for x
    x = 63,862,771.07/7,877.40
  6. Step 6: Final answer
    x = 8,107.09

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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.