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Finding the Fourth Proportional to 11,264.77, 15,545.43 and 6,160.39

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Solution

The fourth proportional to 11,264.77, 15,545.43 and 6,160.39 is: 8,501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.77 : 15,545.43 = 6,160.39 : x
  2. Step 2: Convert to fraction form
    11,264.77/15,545.43 = 6,160.39/x
  3. Step 3: Cross multiply
    11,264.77x = 15,545.43 × 6,160.39
  4. Step 4: Simplify right side
    11,264.77x = 95,765,911.52
  5. Step 5: Solve for x
    x = 95,765,911.52/11,264.77
  6. Step 6: Final answer
    x = 8,501.36

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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.