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Finding the Fourth Proportional to 11,869.88, 17,804.16 and 3,549.96

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Solution

The fourth proportional to 11,869.88, 17,804.16 and 3,549.96 is: 5,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.88 : 17,804.16 = 3,549.96 : x
  2. Step 2: Convert to fraction form
    11,869.88/17,804.16 = 3,549.96/x
  3. Step 3: Cross multiply
    11,869.88x = 17,804.16 × 3,549.96
  4. Step 4: Simplify right side
    11,869.88x = 63,204,055.83
  5. Step 5: Solve for x
    x = 63,204,055.83/11,869.88
  6. Step 6: Final answer
    x = 5,324.74

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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.