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Finding the Fourth Proportional to 8,098.75, 12,147.84 and 5,717.07

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Solution

The fourth proportional to 8,098.75, 12,147.84 and 5,717.07 is: 8,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.75 : 12,147.84 = 5,717.07 : x
  2. Step 2: Convert to fraction form
    8,098.75/12,147.84 = 5,717.07/x
  3. Step 3: Cross multiply
    8,098.75x = 12,147.84 × 5,717.07
  4. Step 4: Simplify right side
    8,098.75x = 69,450,051.63
  5. Step 5: Solve for x
    x = 69,450,051.63/8,098.75
  6. Step 6: Final answer
    x = 8,575.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.