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Finding the Fourth Proportional to 12,964.82, 17,891.57 and 7,298.47

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Solution

The fourth proportional to 12,964.82, 17,891.57 and 7,298.47 is: 10,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.82 : 17,891.57 = 7,298.47 : x
  2. Step 2: Convert to fraction form
    12,964.82/17,891.57 = 7,298.47/x
  3. Step 3: Cross multiply
    12,964.82x = 17,891.57 × 7,298.47
  4. Step 4: Simplify right side
    12,964.82x = 130,581,086.90
  5. Step 5: Solve for x
    x = 130,581,086.90/12,964.82
  6. Step 6: Final answer
    x = 10,071.96

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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.