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Finding the Fourth Proportional to 8,374.75, 11,566.88 and 5,575.39

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Solution

The fourth proportional to 8,374.75, 11,566.88 and 5,575.39 is: 7,700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.75 : 11,566.88 = 5,575.39 : x
  2. Step 2: Convert to fraction form
    8,374.75/11,566.88 = 5,575.39/x
  3. Step 3: Cross multiply
    8,374.75x = 11,566.88 × 5,575.39
  4. Step 4: Simplify right side
    8,374.75x = 64,489,839.21
  5. Step 5: Solve for x
    x = 64,489,839.21/8,374.75
  6. Step 6: Final answer
    x = 7,700.51

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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.