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Finding the Fourth Proportional to 8,314.47, 11,458.13 and 5,952.51

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Solution

The fourth proportional to 8,314.47, 11,458.13 and 5,952.51 is: 8,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.47 : 11,458.13 = 5,952.51 : x
  2. Step 2: Convert to fraction form
    8,314.47/11,458.13 = 5,952.51/x
  3. Step 3: Cross multiply
    8,314.47x = 11,458.13 × 5,952.51
  4. Step 4: Simplify right side
    8,314.47x = 68,204,633.41
  5. Step 5: Solve for x
    x = 68,204,633.41/8,314.47
  6. Step 6: Final answer
    x = 8,203.12

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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.