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Finding the Fourth Proportional to 10,757.76, 14,847.24 and 6,042.36

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Solution

The fourth proportional to 10,757.76, 14,847.24 and 6,042.36 is: 8,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.76 : 14,847.24 = 6,042.36 : x
  2. Step 2: Convert to fraction form
    10,757.76/14,847.24 = 6,042.36/x
  3. Step 3: Cross multiply
    10,757.76x = 14,847.24 × 6,042.36
  4. Step 4: Simplify right side
    10,757.76x = 89,712,369.09
  5. Step 5: Solve for x
    x = 89,712,369.09/10,757.76
  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.