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Finding the Fourth Proportional to 8,394.31, 11,585.06 and 5,251.51

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Solution

The fourth proportional to 8,394.31, 11,585.06 and 5,251.51 is: 7,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.31 : 11,585.06 = 5,251.51 : x
  2. Step 2: Convert to fraction form
    8,394.31/11,585.06 = 5,251.51/x
  3. Step 3: Cross multiply
    8,394.31x = 11,585.06 × 5,251.51
  4. Step 4: Simplify right side
    8,394.31x = 60,839,058.44
  5. Step 5: Solve for x
    x = 60,839,058.44/8,394.31
  6. Step 6: Final answer
    x = 7,247.65

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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.