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Finding the Fourth Proportional to 8,964.87, 12,364.11 and 7,523.57

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Solution

The fourth proportional to 8,964.87, 12,364.11 and 7,523.57 is: 10,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.87 : 12,364.11 = 7,523.57 : x
  2. Step 2: Convert to fraction form
    8,964.87/12,364.11 = 7,523.57/x
  3. Step 3: Cross multiply
    8,964.87x = 12,364.11 × 7,523.57
  4. Step 4: Simplify right side
    8,964.87x = 93,022,277.98
  5. Step 5: Solve for x
    x = 93,022,277.98/8,964.87
  6. Step 6: Final answer
    x = 10,376.31

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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.