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Finding the Fourth Proportional to 7,138.81, 10,713.06 and 2,521.81

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Solution

The fourth proportional to 7,138.81, 10,713.06 and 2,521.81 is: 3,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.81 : 10,713.06 = 2,521.81 : x
  2. Step 2: Convert to fraction form
    7,138.81/10,713.06 = 2,521.81/x
  3. Step 3: Cross multiply
    7,138.81x = 10,713.06 × 2,521.81
  4. Step 4: Simplify right side
    7,138.81x = 27,016,301.84
  5. Step 5: Solve for x
    x = 27,016,301.84/7,138.81
  6. Step 6: Final answer
    x = 3,784.43

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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.