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Finding the Fourth Proportional to 7,106.13, 9,811.13 and 5,006.61

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Solution

The fourth proportional to 7,106.13, 9,811.13 and 5,006.61 is: 6,912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.13 : 9,811.13 = 5,006.61 : x
  2. Step 2: Convert to fraction form
    7,106.13/9,811.13 = 5,006.61/x
  3. Step 3: Cross multiply
    7,106.13x = 9,811.13 × 5,006.61
  4. Step 4: Simplify right side
    7,106.13x = 49,120,476.54
  5. Step 5: Solve for x
    x = 49,120,476.54/7,106.13
  6. Step 6: Final answer
    x = 6,912.41

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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.