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Finding the Fourth Proportional to 12,764.31, 17,619.51 and 7,460.83

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Solution

The fourth proportional to 12,764.31, 17,619.51 and 7,460.83 is: 10,298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.31 : 17,619.51 = 7,460.83 : x
  2. Step 2: Convert to fraction form
    12,764.31/17,619.51 = 7,460.83/x
  3. Step 3: Cross multiply
    12,764.31x = 17,619.51 × 7,460.83
  4. Step 4: Simplify right side
    12,764.31x = 131,456,168.79
  5. Step 5: Solve for x
    x = 131,456,168.79/12,764.31
  6. Step 6: Final answer
    x = 10,298.73

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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.