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Finding the Fourth Proportional to 8,327.84, 12,490.50 and 3,132.50

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Solution

The fourth proportional to 8,327.84, 12,490.50 and 3,132.50 is: 4,698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.84 : 12,490.50 = 3,132.50 : x
  2. Step 2: Convert to fraction form
    8,327.84/12,490.50 = 3,132.50/x
  3. Step 3: Cross multiply
    8,327.84x = 12,490.50 × 3,132.50
  4. Step 4: Simplify right side
    8,327.84x = 39,126,491.25
  5. Step 5: Solve for x
    x = 39,126,491.25/8,327.84
  6. Step 6: Final answer
    x = 4,698.28

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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.