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Finding the Fourth Proportional to 8,618.40, 11,893.23 and 5,431.05

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Solution

The fourth proportional to 8,618.40, 11,893.23 and 5,431.05 is: 7,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,618.40 : 11,893.23 = 5,431.05 : x
  2. Step 2: Convert to fraction form
    8,618.40/11,893.23 = 5,431.05/x
  3. Step 3: Cross multiply
    8,618.40x = 11,893.23 × 5,431.05
  4. Step 4: Simplify right side
    8,618.40x = 64,592,726.79
  5. Step 5: Solve for x
    x = 64,592,726.79/8,618.40
  6. Step 6: Final answer
    x = 7,494.75

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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.