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Finding the Fourth Proportional to 11,058.50, 16,587.72 and 9,106.59

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Solution

The fourth proportional to 11,058.50, 16,587.72 and 9,106.59 is: 13,659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,058.50 : 16,587.72 = 9,106.59 : x
  2. Step 2: Convert to fraction form
    11,058.50/16,587.72 = 9,106.59/x
  3. Step 3: Cross multiply
    11,058.50x = 16,587.72 × 9,106.59
  4. Step 4: Simplify right side
    11,058.50x = 151,057,565.07
  5. Step 5: Solve for x
    x = 151,057,565.07/11,058.50
  6. Step 6: Final answer
    x = 13,659.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.