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Finding the Fourth Proportional to 7,086.12, 9,780.13 and 4,102.23

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Solution

The fourth proportional to 7,086.12, 9,780.13 and 4,102.23 is: 5,661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.12 : 9,780.13 = 4,102.23 : x
  2. Step 2: Convert to fraction form
    7,086.12/9,780.13 = 4,102.23/x
  3. Step 3: Cross multiply
    7,086.12x = 9,780.13 × 4,102.23
  4. Step 4: Simplify right side
    7,086.12x = 40,120,342.69
  5. Step 5: Solve for x
    x = 40,120,342.69/7,086.12
  6. Step 6: Final answer
    x = 5,661.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.