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Finding the Fourth Proportional to 7,011.68, 10,519.02 and 2,081.66

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Solution

The fourth proportional to 7,011.68, 10,519.02 and 2,081.66 is: 3,122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.68 : 10,519.02 = 2,081.66 : x
  2. Step 2: Convert to fraction form
    7,011.68/10,519.02 = 2,081.66/x
  3. Step 3: Cross multiply
    7,011.68x = 10,519.02 × 2,081.66
  4. Step 4: Simplify right side
    7,011.68x = 21,897,023.17
  5. Step 5: Solve for x
    x = 21,897,023.17/7,011.68
  6. Step 6: Final answer
    x = 3,122.94

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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.