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Finding the Fourth Proportional to 11,296.92, 15,587.91 and 6,580.38

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Solution

The fourth proportional to 11,296.92, 15,587.91 and 6,580.38 is: 9,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.92 : 15,587.91 = 6,580.38 : x
  2. Step 2: Convert to fraction form
    11,296.92/15,587.91 = 6,580.38/x
  3. Step 3: Cross multiply
    11,296.92x = 15,587.91 × 6,580.38
  4. Step 4: Simplify right side
    11,296.92x = 102,574,371.21
  5. Step 5: Solve for x
    x = 102,574,371.21/11,296.92
  6. Step 6: Final answer
    x = 9,079.85

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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.