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Finding the Fourth Proportional to 7,314.88, 10,085.76 and 5,717.44

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Solution

The fourth proportional to 7,314.88, 10,085.76 and 5,717.44 is: 7,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.88 : 10,085.76 = 5,717.44 : x
  2. Step 2: Convert to fraction form
    7,314.88/10,085.76 = 5,717.44/x
  3. Step 3: Cross multiply
    7,314.88x = 10,085.76 × 5,717.44
  4. Step 4: Simplify right side
    7,314.88x = 57,664,727.65
  5. Step 5: Solve for x
    x = 57,664,727.65/7,314.88
  6. Step 6: Final answer
    x = 7,883.21

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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.