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Finding the Fourth Proportional to 12,058.91, 16,641.36 and 7,584.87

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Solution

The fourth proportional to 12,058.91, 16,641.36 and 7,584.87 is: 10,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,058.91 : 16,641.36 = 7,584.87 : x
  2. Step 2: Convert to fraction form
    12,058.91/16,641.36 = 7,584.87/x
  3. Step 3: Cross multiply
    12,058.91x = 16,641.36 × 7,584.87
  4. Step 4: Simplify right side
    12,058.91x = 126,222,642.85
  5. Step 5: Solve for x
    x = 126,222,642.85/12,058.91
  6. Step 6: Final answer
    x = 10,467.17

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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.