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Finding the Fourth Proportional to 7,233.91, 10,857.01 and 5,159

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Solution

The fourth proportional to 7,233.91, 10,857.01 and 5,159 is: 7,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.91 : 10,857.01 = 5,159 : x
  2. Step 2: Convert to fraction form
    7,233.91/10,857.01 = 5,159/x
  3. Step 3: Cross multiply
    7,233.91x = 10,857.01 × 5,159
  4. Step 4: Simplify right side
    7,233.91x = 56,011,314.59
  5. Step 5: Solve for x
    x = 56,011,314.59/7,233.91
  6. Step 6: Final answer
    x = 7,742.88

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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.