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Finding the Fourth Proportional to 8,537.12, 11,774.40 and 5,883.92

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Solution

The fourth proportional to 8,537.12, 11,774.40 and 5,883.92 is: 8,115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.12 : 11,774.40 = 5,883.92 : x
  2. Step 2: Convert to fraction form
    8,537.12/11,774.40 = 5,883.92/x
  3. Step 3: Cross multiply
    8,537.12x = 11,774.40 × 5,883.92
  4. Step 4: Simplify right side
    8,537.12x = 69,279,627.65
  5. Step 5: Solve for x
    x = 69,279,627.65/8,537.12
  6. Step 6: Final answer
    x = 8,115.11

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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.