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Finding the Fourth Proportional to 8,564.40, 11,822.05 and 6,344.19

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Solution

The fourth proportional to 8,564.40, 11,822.05 and 6,344.19 is: 8,757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.40 : 11,822.05 = 6,344.19 : x
  2. Step 2: Convert to fraction form
    8,564.40/11,822.05 = 6,344.19/x
  3. Step 3: Cross multiply
    8,564.40x = 11,822.05 × 6,344.19
  4. Step 4: Simplify right side
    8,564.40x = 75,001,339.32
  5. Step 5: Solve for x
    x = 75,001,339.32/8,564.40
  6. Step 6: Final answer
    x = 8,757.34

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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.