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Finding the Fourth Proportional to 8,296.84, 12,416.56 and 7,952.39

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Solution

The fourth proportional to 8,296.84, 12,416.56 and 7,952.39 is: 11,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.84 : 12,416.56 = 7,952.39 : x
  2. Step 2: Convert to fraction form
    8,296.84/12,416.56 = 7,952.39/x
  3. Step 3: Cross multiply
    8,296.84x = 12,416.56 × 7,952.39
  4. Step 4: Simplify right side
    8,296.84x = 98,741,292.18
  5. Step 5: Solve for x
    x = 98,741,292.18/8,296.84
  6. Step 6: Final answer
    x = 11,901.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.