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Finding the Fourth Proportional to 11,326.87, 16,977.48 and 5,768.48

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Solution

The fourth proportional to 11,326.87, 16,977.48 and 5,768.48 is: 8,646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,326.87 : 16,977.48 = 5,768.48 : x
  2. Step 2: Convert to fraction form
    11,326.87/16,977.48 = 5,768.48/x
  3. Step 3: Cross multiply
    11,326.87x = 16,977.48 × 5,768.48
  4. Step 4: Simplify right side
    11,326.87x = 97,934,253.83
  5. Step 5: Solve for x
    x = 97,934,253.83/11,326.87
  6. Step 6: Final answer
    x = 8,646.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.