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Finding the Fourth Proportional to 8,674, 13,011.36 and 2,518

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Solution

The fourth proportional to 8,674, 13,011.36 and 2,518 is: 3,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674 : 13,011.36 = 2,518 : x
  2. Step 2: Convert to fraction form
    8,674/13,011.36 = 2,518/x
  3. Step 3: Cross multiply
    8,674x = 13,011.36 × 2,518
  4. Step 4: Simplify right side
    8,674x = 32,762,604.48
  5. Step 5: Solve for x
    x = 32,762,604.48/8,674
  6. Step 6: Final answer
    x = 3,777.10

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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.