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Finding the Fourth Proportional to 8,220.30, 12,330.14 and 2,377.50

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Solution

The fourth proportional to 8,220.30, 12,330.14 and 2,377.50 is: 3,566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.30 : 12,330.14 = 2,377.50 : x
  2. Step 2: Convert to fraction form
    8,220.30/12,330.14 = 2,377.50/x
  3. Step 3: Cross multiply
    8,220.30x = 12,330.14 × 2,377.50
  4. Step 4: Simplify right side
    8,220.30x = 29,314,907.85
  5. Step 5: Solve for x
    x = 29,314,907.85/8,220.30
  6. Step 6: Final answer
    x = 3,566.16

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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.