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Finding the Fourth Proportional to 8,605.48, 11,876.04 and 6,477.19

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Solution

The fourth proportional to 8,605.48, 11,876.04 and 6,477.19 is: 8,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.48 : 11,876.04 = 6,477.19 : x
  2. Step 2: Convert to fraction form
    8,605.48/11,876.04 = 6,477.19/x
  3. Step 3: Cross multiply
    8,605.48x = 11,876.04 × 6,477.19
  4. Step 4: Simplify right side
    8,605.48x = 76,923,367.53
  5. Step 5: Solve for x
    x = 76,923,367.53/8,605.48
  6. Step 6: Final answer
    x = 8,938.88

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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.