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Finding the Fourth Proportional to 10,765.24, 14,855.24 and 6,048.64

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Solution

The fourth proportional to 10,765.24, 14,855.24 and 6,048.64 is: 8,346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.24 : 14,855.24 = 6,048.64 : x
  2. Step 2: Convert to fraction form
    10,765.24/14,855.24 = 6,048.64/x
  3. Step 3: Cross multiply
    10,765.24x = 14,855.24 × 6,048.64
  4. Step 4: Simplify right side
    10,765.24x = 89,853,998.87
  5. Step 5: Solve for x
    x = 89,853,998.87/10,765.24
  6. Step 6: Final answer
    x = 8,346.68

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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.