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Finding the Fourth Proportional to 11,581.10, 15,980.97 and 6,545.75

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Solution

The fourth proportional to 11,581.10, 15,980.97 and 6,545.75 is: 9,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,581.10 : 15,980.97 = 6,545.75 : x
  2. Step 2: Convert to fraction form
    11,581.10/15,980.97 = 6,545.75/x
  3. Step 3: Cross multiply
    11,581.10x = 15,980.97 × 6,545.75
  4. Step 4: Simplify right side
    11,581.10x = 104,607,434.38
  5. Step 5: Solve for x
    x = 104,607,434.38/11,581.10
  6. Step 6: Final answer
    x = 9,032.60

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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.