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Finding the Fourth Proportional to 7,876.22, 11,808.48 and 3,713.86

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Solution

The fourth proportional to 7,876.22, 11,808.48 and 3,713.86 is: 5,568.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.22 : 11,808.48 = 3,713.86 : x
  2. Step 2: Convert to fraction form
    7,876.22/11,808.48 = 3,713.86/x
  3. Step 3: Cross multiply
    7,876.22x = 11,808.48 × 3,713.86
  4. Step 4: Simplify right side
    7,876.22x = 43,855,041.53
  5. Step 5: Solve for x
    x = 43,855,041.53/7,876.22
  6. Step 6: Final answer
    x = 5,568.03

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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.