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Finding the Fourth Proportional to 8,376.50, 12,564.75 and 2,220.50

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Solution

The fourth proportional to 8,376.50, 12,564.75 and 2,220.50 is: 3,330.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376.50 : 12,564.75 = 2,220.50 : x
  2. Step 2: Convert to fraction form
    8,376.50/12,564.75 = 2,220.50/x
  3. Step 3: Cross multiply
    8,376.50x = 12,564.75 × 2,220.50
  4. Step 4: Simplify right side
    8,376.50x = 27,900,027.38
  5. Step 5: Solve for x
    x = 27,900,027.38/8,376.50
  6. Step 6: Final answer
    x = 3,330.75

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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.