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Finding the Fourth Proportional to 13,081.96, 18,052.90 and 7,113.58

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Solution

The fourth proportional to 13,081.96, 18,052.90 and 7,113.58 is: 9,816.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081.96 : 18,052.90 = 7,113.58 : x
  2. Step 2: Convert to fraction form
    13,081.96/18,052.90 = 7,113.58/x
  3. Step 3: Cross multiply
    13,081.96x = 18,052.90 × 7,113.58
  4. Step 4: Simplify right side
    13,081.96x = 128,420,748.38
  5. Step 5: Solve for x
    x = 128,420,748.38/13,081.96
  6. Step 6: Final answer
    x = 9,816.63

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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.