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Finding the Fourth Proportional to 11,610.18, 17,416.19 and 6,961.91

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Solution

The fourth proportional to 11,610.18, 17,416.19 and 6,961.91 is: 10,443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.18 : 17,416.19 = 6,961.91 : x
  2. Step 2: Convert to fraction form
    11,610.18/17,416.19 = 6,961.91/x
  3. Step 3: Cross multiply
    11,610.18x = 17,416.19 × 6,961.91
  4. Step 4: Simplify right side
    11,610.18x = 121,249,877.65
  5. Step 5: Solve for x
    x = 121,249,877.65/11,610.18
  6. Step 6: Final answer
    x = 10,443.41

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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.