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Finding the Fourth Proportional to 11,075, 16,616.66 and 4,502.84

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Solution

The fourth proportional to 11,075, 16,616.66 and 4,502.84 is: 6,755.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,075 : 16,616.66 = 4,502.84 : x
  2. Step 2: Convert to fraction form
    11,075/16,616.66 = 4,502.84/x
  3. Step 3: Cross multiply
    11,075x = 16,616.66 × 4,502.84
  4. Step 4: Simplify right side
    11,075x = 74,822,161.31
  5. Step 5: Solve for x
    x = 74,822,161.31/11,075
  6. Step 6: Final answer
    x = 6,755.95

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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.