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Finding the Fourth Proportional to 8,220.88, 11,344 and 4,683.96

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Solution

The fourth proportional to 8,220.88, 11,344 and 4,683.96 is: 6,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.88 : 11,344 = 4,683.96 : x
  2. Step 2: Convert to fraction form
    8,220.88/11,344 = 4,683.96/x
  3. Step 3: Cross multiply
    8,220.88x = 11,344 × 4,683.96
  4. Step 4: Simplify right side
    8,220.88x = 53,134,842.24
  5. Step 5: Solve for x
    x = 53,134,842.24/8,220.88
  6. Step 6: Final answer
    x = 6,463.40

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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.