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Finding the Fourth Proportional to 8,732.24, 13,089 and 4,340.24

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Solution

The fourth proportional to 8,732.24, 13,089 and 4,340.24 is: 6,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732.24 : 13,089 = 4,340.24 : x
  2. Step 2: Convert to fraction form
    8,732.24/13,089 = 4,340.24/x
  3. Step 3: Cross multiply
    8,732.24x = 13,089 × 4,340.24
  4. Step 4: Simplify right side
    8,732.24x = 56,809,401.36
  5. Step 5: Solve for x
    x = 56,809,401.36/8,732.24
  6. Step 6: Final answer
    x = 6,505.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.