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Finding the Fourth Proportional to 8,220, 11,353.32 and 5,562.80

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Solution

The fourth proportional to 8,220, 11,353.32 and 5,562.80 is: 7,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220 : 11,353.32 = 5,562.80 : x
  2. Step 2: Convert to fraction form
    8,220/11,353.32 = 5,562.80/x
  3. Step 3: Cross multiply
    8,220x = 11,353.32 × 5,562.80
  4. Step 4: Simplify right side
    8,220x = 63,156,191.73
  5. Step 5: Solve for x
    x = 63,156,191.73/8,220
  6. Step 6: Final answer
    x = 7,683.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.