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Finding the Fourth Proportional to 7,535.91, 10,398.54 and 4,178.55

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Solution

The fourth proportional to 7,535.91, 10,398.54 and 4,178.55 is: 5,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.91 : 10,398.54 = 4,178.55 : x
  2. Step 2: Convert to fraction form
    7,535.91/10,398.54 = 4,178.55/x
  3. Step 3: Cross multiply
    7,535.91x = 10,398.54 × 4,178.55
  4. Step 4: Simplify right side
    7,535.91x = 43,450,819.32
  5. Step 5: Solve for x
    x = 43,450,819.32/7,535.91
  6. Step 6: Final answer
    x = 5,765.84

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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.