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Finding the Fourth Proportional to 11,502.93, 15,867.27 and 7,246.48

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Solution

The fourth proportional to 11,502.93, 15,867.27 and 7,246.48 is: 9,995.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.93 : 15,867.27 = 7,246.48 : x
  2. Step 2: Convert to fraction form
    11,502.93/15,867.27 = 7,246.48/x
  3. Step 3: Cross multiply
    11,502.93x = 15,867.27 × 7,246.48
  4. Step 4: Simplify right side
    11,502.93x = 114,981,795.21
  5. Step 5: Solve for x
    x = 114,981,795.21/11,502.93
  6. Step 6: Final answer
    x = 9,995.87

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Why These Related Problems?

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