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Finding the Fourth Proportional to 8,494.86, 12,741.66 and 3,564.30

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Solution

The fourth proportional to 8,494.86, 12,741.66 and 3,564.30 is: 5,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.86 : 12,741.66 = 3,564.30 : x
  2. Step 2: Convert to fraction form
    8,494.86/12,741.66 = 3,564.30/x
  3. Step 3: Cross multiply
    8,494.86x = 12,741.66 × 3,564.30
  4. Step 4: Simplify right side
    8,494.86x = 45,415,098.74
  5. Step 5: Solve for x
    x = 45,415,098.74/8,494.86
  6. Step 6: Final answer
    x = 5,346.19

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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.