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Finding the Fourth Proportional to 8,220.50, 12,332.58 and 2,376.67

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Solution

The fourth proportional to 8,220.50, 12,332.58 and 2,376.67 is: 3,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.50 : 12,332.58 = 2,376.67 : x
  2. Step 2: Convert to fraction form
    8,220.50/12,332.58 = 2,376.67/x
  3. Step 3: Cross multiply
    8,220.50x = 12,332.58 × 2,376.67
  4. Step 4: Simplify right side
    8,220.50x = 29,310,442.08
  5. Step 5: Solve for x
    x = 29,310,442.08/8,220.50
  6. Step 6: Final answer
    x = 3,565.53

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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.