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Finding the Fourth Proportional to 8,250, 11,376.45 and 5,734.95

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Solution

The fourth proportional to 8,250, 11,376.45 and 5,734.95 is: 7,908.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250 : 11,376.45 = 5,734.95 : x
  2. Step 2: Convert to fraction form
    8,250/11,376.45 = 5,734.95/x
  3. Step 3: Cross multiply
    8,250x = 11,376.45 × 5,734.95
  4. Step 4: Simplify right side
    8,250x = 65,243,371.93
  5. Step 5: Solve for x
    x = 65,243,371.93/8,250
  6. Step 6: Final answer
    x = 7,908.29

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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.