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Finding the Fourth Proportional to 13,130.84, 18,115.38 and 8,086.31

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Solution

The fourth proportional to 13,130.84, 18,115.38 and 8,086.31 is: 11,155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.84 : 18,115.38 = 8,086.31 : x
  2. Step 2: Convert to fraction form
    13,130.84/18,115.38 = 8,086.31/x
  3. Step 3: Cross multiply
    13,130.84x = 18,115.38 × 8,086.31
  4. Step 4: Simplify right side
    13,130.84x = 146,486,487.87
  5. Step 5: Solve for x
    x = 146,486,487.87/13,130.84
  6. Step 6: Final answer
    x = 11,155.92

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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.