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Finding the Fourth Proportional to 12,964.32, 17,890.96 and 7,375.28

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Solution

The fourth proportional to 12,964.32, 17,890.96 and 7,375.28 is: 10,178.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.32 : 17,890.96 = 7,375.28 : x
  2. Step 2: Convert to fraction form
    12,964.32/17,890.96 = 7,375.28/x
  3. Step 3: Cross multiply
    12,964.32x = 17,890.96 × 7,375.28
  4. Step 4: Simplify right side
    12,964.32x = 131,950,839.47
  5. Step 5: Solve for x
    x = 131,950,839.47/12,964.32
  6. Step 6: Final answer
    x = 10,178.00

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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.