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Finding the Fourth Proportional to 10,758.88, 14,847.87 and 6,042.79

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Solution

The fourth proportional to 10,758.88, 14,847.87 and 6,042.79 is: 8,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.88 : 14,847.87 = 6,042.79 : x
  2. Step 2: Convert to fraction form
    10,758.88/14,847.87 = 6,042.79/x
  3. Step 3: Cross multiply
    10,758.88x = 14,847.87 × 6,042.79
  4. Step 4: Simplify right side
    10,758.88x = 89,722,560.36
  5. Step 5: Solve for x
    x = 89,722,560.36/10,758.88
  6. Step 6: Final answer
    x = 8,339.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.