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Finding the Fourth Proportional to 8,825.36, 12,178.24 and 5,047.92

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Solution

The fourth proportional to 8,825.36, 12,178.24 and 5,047.92 is: 6,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825.36 : 12,178.24 = 5,047.92 : x
  2. Step 2: Convert to fraction form
    8,825.36/12,178.24 = 5,047.92/x
  3. Step 3: Cross multiply
    8,825.36x = 12,178.24 × 5,047.92
  4. Step 4: Simplify right side
    8,825.36x = 61,474,781.26
  5. Step 5: Solve for x
    x = 61,474,781.26/8,825.36
  6. Step 6: Final answer
    x = 6,965.70

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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.