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Finding the Fourth Proportional to 8,427.96, 11,625.72 and 5,278.68

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Solution

The fourth proportional to 8,427.96, 11,625.72 and 5,278.68 is: 7,281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.96 : 11,625.72 = 5,278.68 : x
  2. Step 2: Convert to fraction form
    8,427.96/11,625.72 = 5,278.68/x
  3. Step 3: Cross multiply
    8,427.96x = 11,625.72 × 5,278.68
  4. Step 4: Simplify right side
    8,427.96x = 61,368,455.65
  5. Step 5: Solve for x
    x = 61,368,455.65/8,427.96
  6. Step 6: Final answer
    x = 7,281.53

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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.