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Finding the Fourth Proportional to 10,758.57, 14,847.21 and 6,042.75

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Solution

The fourth proportional to 10,758.57, 14,847.21 and 6,042.75 is: 8,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.57 : 14,847.21 = 6,042.75 : x
  2. Step 2: Convert to fraction form
    10,758.57/14,847.21 = 6,042.75/x
  3. Step 3: Cross multiply
    10,758.57x = 14,847.21 × 6,042.75
  4. Step 4: Simplify right side
    10,758.57x = 89,717,978.23
  5. Step 5: Solve for x
    x = 89,717,978.23/10,758.57
  6. Step 6: Final answer
    x = 8,339.21

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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.