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Finding the Fourth Proportional to 11,484.95, 17,231.51 and 5,645.66

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Solution

The fourth proportional to 11,484.95, 17,231.51 and 5,645.66 is: 8,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.95 : 17,231.51 = 5,645.66 : x
  2. Step 2: Convert to fraction form
    11,484.95/17,231.51 = 5,645.66/x
  3. Step 3: Cross multiply
    11,484.95x = 17,231.51 × 5,645.66
  4. Step 4: Simplify right side
    11,484.95x = 97,283,132.36
  5. Step 5: Solve for x
    x = 97,283,132.36/11,484.95
  6. Step 6: Final answer
    x = 8,470.49

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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.