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Finding the Fourth Proportional to 8,357.22, 11,548.17 and 7,952.34

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Solution

The fourth proportional to 8,357.22, 11,548.17 and 7,952.34 is: 10,988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.22 : 11,548.17 = 7,952.34 : x
  2. Step 2: Convert to fraction form
    8,357.22/11,548.17 = 7,952.34/x
  3. Step 3: Cross multiply
    8,357.22x = 11,548.17 × 7,952.34
  4. Step 4: Simplify right side
    8,357.22x = 91,834,974.22
  5. Step 5: Solve for x
    x = 91,834,974.22/8,357.22
  6. Step 6: Final answer
    x = 10,988.70

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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.