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Finding the Fourth Proportional to 7,593.12, 10,474.36 and 6,178.32

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Solution

The fourth proportional to 7,593.12, 10,474.36 and 6,178.32 is: 8,522.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,593.12 : 10,474.36 = 6,178.32 : x
  2. Step 2: Convert to fraction form
    7,593.12/10,474.36 = 6,178.32/x
  3. Step 3: Cross multiply
    7,593.12x = 10,474.36 × 6,178.32
  4. Step 4: Simplify right side
    7,593.12x = 64,713,947.88
  5. Step 5: Solve for x
    x = 64,713,947.88/7,593.12
  6. Step 6: Final answer
    x = 8,522.71

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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.