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Finding the Fourth Proportional to 8,768.16, 13,164.36 and 5,494.08

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Solution

The fourth proportional to 8,768.16, 13,164.36 and 5,494.08 is: 8,248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,768.16 : 13,164.36 = 5,494.08 : x
  2. Step 2: Convert to fraction form
    8,768.16/13,164.36 = 5,494.08/x
  3. Step 3: Cross multiply
    8,768.16x = 13,164.36 × 5,494.08
  4. Step 4: Simplify right side
    8,768.16x = 72,326,046.99
  5. Step 5: Solve for x
    x = 72,326,046.99/8,768.16
  6. Step 6: Final answer
    x = 8,248.71

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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.