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Finding the Fourth Proportional to 8,178.47, 11,286.74 and 4,823.25

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Solution

The fourth proportional to 8,178.47, 11,286.74 and 4,823.25 is: 6,656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.47 : 11,286.74 = 4,823.25 : x
  2. Step 2: Convert to fraction form
    8,178.47/11,286.74 = 4,823.25/x
  3. Step 3: Cross multiply
    8,178.47x = 11,286.74 × 4,823.25
  4. Step 4: Simplify right side
    8,178.47x = 54,438,738.44
  5. Step 5: Solve for x
    x = 54,438,738.44/8,178.47
  6. Step 6: Final answer
    x = 6,656.35

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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.