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Finding the Fourth Proportional to 8,756.36, 13,103.70 and 5,471

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Solution

The fourth proportional to 8,756.36, 13,103.70 and 5,471 is: 8,187.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,756.36 : 13,103.70 = 5,471 : x
  2. Step 2: Convert to fraction form
    8,756.36/13,103.70 = 5,471/x
  3. Step 3: Cross multiply
    8,756.36x = 13,103.70 × 5,471
  4. Step 4: Simplify right side
    8,756.36x = 71,690,342.70
  5. Step 5: Solve for x
    x = 71,690,342.70/8,756.36
  6. Step 6: Final answer
    x = 8,187.23

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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.