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Finding the Fourth Proportional to 7,134.06, 10,700.22 and 1,939.50

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Solution

The fourth proportional to 7,134.06, 10,700.22 and 1,939.50 is: 2,909.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.06 : 10,700.22 = 1,939.50 : x
  2. Step 2: Convert to fraction form
    7,134.06/10,700.22 = 1,939.50/x
  3. Step 3: Cross multiply
    7,134.06x = 10,700.22 × 1,939.50
  4. Step 4: Simplify right side
    7,134.06x = 20,753,076.69
  5. Step 5: Solve for x
    x = 20,753,076.69/7,134.06
  6. Step 6: Final answer
    x = 2,909.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.