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Finding the Fourth Proportional to 8,423.12, 11,616.36 and 6,535.28

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Solution

The fourth proportional to 8,423.12, 11,616.36 and 6,535.28 is: 9,012.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.12 : 11,616.36 = 6,535.28 : x
  2. Step 2: Convert to fraction form
    8,423.12/11,616.36 = 6,535.28/x
  3. Step 3: Cross multiply
    8,423.12x = 11,616.36 × 6,535.28
  4. Step 4: Simplify right side
    8,423.12x = 75,916,165.18
  5. Step 5: Solve for x
    x = 75,916,165.18/8,423.12
  6. Step 6: Final answer
    x = 9,012.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.