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Finding the Fourth Proportional to 8,385.75, 11,577.20 and 5,596.11

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Solution

The fourth proportional to 8,385.75, 11,577.20 and 5,596.11 is: 7,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.75 : 11,577.20 = 5,596.11 : x
  2. Step 2: Convert to fraction form
    8,385.75/11,577.20 = 5,596.11/x
  3. Step 3: Cross multiply
    8,385.75x = 11,577.20 × 5,596.11
  4. Step 4: Simplify right side
    8,385.75x = 64,787,256.71
  5. Step 5: Solve for x
    x = 64,787,256.71/8,385.75
  6. Step 6: Final answer
    x = 7,725.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.