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Finding the Fourth Proportional to 8,575.96, 11,834.80 and 5,041.20

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Solution

The fourth proportional to 8,575.96, 11,834.80 and 5,041.20 is: 6,956.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.96 : 11,834.80 = 5,041.20 : x
  2. Step 2: Convert to fraction form
    8,575.96/11,834.80 = 5,041.20/x
  3. Step 3: Cross multiply
    8,575.96x = 11,834.80 × 5,041.20
  4. Step 4: Simplify right side
    8,575.96x = 59,661,593.76
  5. Step 5: Solve for x
    x = 59,661,593.76/8,575.96
  6. Step 6: Final answer
    x = 6,956.84

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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.