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Finding the Fourth Proportional to 11,058.48, 16,583.22 and 5,509.80

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Solution

The fourth proportional to 11,058.48, 16,583.22 and 5,509.80 is: 8,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,058.48 : 16,583.22 = 5,509.80 : x
  2. Step 2: Convert to fraction form
    11,058.48/16,583.22 = 5,509.80/x
  3. Step 3: Cross multiply
    11,058.48x = 16,583.22 × 5,509.80
  4. Step 4: Simplify right side
    11,058.48x = 91,370,225.56
  5. Step 5: Solve for x
    x = 91,370,225.56/11,058.48
  6. Step 6: Final answer
    x = 8,262.46

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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.