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Finding the Fourth Proportional to 10,758.14, 14,847.63 and 6,042.42

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Solution

The fourth proportional to 10,758.14, 14,847.63 and 6,042.42 is: 8,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.14 : 14,847.63 = 6,042.42 : x
  2. Step 2: Convert to fraction form
    10,758.14/14,847.63 = 6,042.42/x
  3. Step 3: Cross multiply
    10,758.14x = 14,847.63 × 6,042.42
  4. Step 4: Simplify right side
    10,758.14x = 89,715,586.25
  5. Step 5: Solve for x
    x = 89,715,586.25/10,758.14
  6. Step 6: Final answer
    x = 8,339.32

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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.