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Finding the Fourth Proportional to 8,823.25, 12,176.63 and 5,097.25

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Solution

The fourth proportional to 8,823.25, 12,176.63 and 5,097.25 is: 7,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.25 : 12,176.63 = 5,097.25 : x
  2. Step 2: Convert to fraction form
    8,823.25/12,176.63 = 5,097.25/x
  3. Step 3: Cross multiply
    8,823.25x = 12,176.63 × 5,097.25
  4. Step 4: Simplify right side
    8,823.25x = 62,067,327.27
  5. Step 5: Solve for x
    x = 62,067,327.27/8,823.25
  6. Step 6: Final answer
    x = 7,034.52

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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.