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Finding the Fourth Proportional to 11,058.56, 16,593.15 and 6,897.50

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Solution

The fourth proportional to 11,058.56, 16,593.15 and 6,897.50 is: 10,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,058.56 : 16,593.15 = 6,897.50 : x
  2. Step 2: Convert to fraction form
    11,058.56/16,593.15 = 6,897.50/x
  3. Step 3: Cross multiply
    11,058.56x = 16,593.15 × 6,897.50
  4. Step 4: Simplify right side
    11,058.56x = 114,451,269.37
  5. Step 5: Solve for x
    x = 114,451,269.37/11,058.56
  6. Step 6: Final answer
    x = 10,349.56

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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.