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Finding the Fourth Proportional to 7,135.11, 10,707.11 and 5,134

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Solution

The fourth proportional to 7,135.11, 10,707.11 and 5,134 is: 7,704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.11 : 10,707.11 = 5,134 : x
  2. Step 2: Convert to fraction form
    7,135.11/10,707.11 = 5,134/x
  3. Step 3: Cross multiply
    7,135.11x = 10,707.11 × 5,134
  4. Step 4: Simplify right side
    7,135.11x = 54,970,315.58
  5. Step 5: Solve for x
    x = 54,970,315.58/7,135.11
  6. Step 6: Final answer
    x = 7,704.21

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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.