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Finding the Fourth Proportional to 11,587.40, 15,981.90 and 8,183

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Solution

The fourth proportional to 11,587.40, 15,981.90 and 8,183 is: 11,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.40 : 15,981.90 = 8,183 : x
  2. Step 2: Convert to fraction form
    11,587.40/15,981.90 = 8,183/x
  3. Step 3: Cross multiply
    11,587.40x = 15,981.90 × 8,183
  4. Step 4: Simplify right side
    11,587.40x = 130,779,887.70
  5. Step 5: Solve for x
    x = 130,779,887.70/11,587.40
  6. Step 6: Final answer
    x = 11,286.39

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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.