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Finding the Fourth Proportional to 7,952.17, 10,962.66 and 5,713.33

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Solution

The fourth proportional to 7,952.17, 10,962.66 and 5,713.33 is: 7,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.17 : 10,962.66 = 5,713.33 : x
  2. Step 2: Convert to fraction form
    7,952.17/10,962.66 = 5,713.33/x
  3. Step 3: Cross multiply
    7,952.17x = 10,962.66 × 5,713.33
  4. Step 4: Simplify right side
    7,952.17x = 62,633,294.26
  5. Step 5: Solve for x
    x = 62,633,294.26/7,952.17
  6. Step 6: Final answer
    x = 7,876.25

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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.