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Finding the Fourth Proportional to 11,340.77, 15,650.97 and 6,305.03

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Solution

The fourth proportional to 11,340.77, 15,650.97 and 6,305.03 is: 8,701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.77 : 15,650.97 = 6,305.03 : x
  2. Step 2: Convert to fraction form
    11,340.77/15,650.97 = 6,305.03/x
  3. Step 3: Cross multiply
    11,340.77x = 15,650.97 × 6,305.03
  4. Step 4: Simplify right side
    11,340.77x = 98,679,835.38
  5. Step 5: Solve for x
    x = 98,679,835.38/11,340.77
  6. Step 6: Final answer
    x = 8,701.33

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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.