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Finding the Fourth Proportional to 8,864, 13,291.04 and 4,114.96

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Solution

The fourth proportional to 8,864, 13,291.04 and 4,114.96 is: 6,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864 : 13,291.04 = 4,114.96 : x
  2. Step 2: Convert to fraction form
    8,864/13,291.04 = 4,114.96/x
  3. Step 3: Cross multiply
    8,864x = 13,291.04 × 4,114.96
  4. Step 4: Simplify right side
    8,864x = 54,692,097.96
  5. Step 5: Solve for x
    x = 54,692,097.96/8,864
  6. Step 6: Final answer
    x = 6,170.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.