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Finding the Fourth Proportional to 8,220.65, 11,342.31 and 4,683.79

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Solution

The fourth proportional to 8,220.65, 11,342.31 and 4,683.79 is: 6,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.65 : 11,342.31 = 4,683.79 : x
  2. Step 2: Convert to fraction form
    8,220.65/11,342.31 = 4,683.79/x
  3. Step 3: Cross multiply
    8,220.65x = 11,342.31 × 4,683.79
  4. Step 4: Simplify right side
    8,220.65x = 53,124,941.44
  5. Step 5: Solve for x
    x = 53,124,941.44/8,220.65
  6. Step 6: Final answer
    x = 6,462.38

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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.