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Finding the Fourth Proportional to 11,075.97, 16,609.08 and 4,054.16

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Solution

The fourth proportional to 11,075.97, 16,609.08 and 4,054.16 is: 6,079.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,075.97 : 16,609.08 = 4,054.16 : x
  2. Step 2: Convert to fraction form
    11,075.97/16,609.08 = 4,054.16/x
  3. Step 3: Cross multiply
    11,075.97x = 16,609.08 × 4,054.16
  4. Step 4: Simplify right side
    11,075.97x = 67,335,924.50
  5. Step 5: Solve for x
    x = 67,335,924.50/11,075.97
  6. Step 6: Final answer
    x = 6,079.46

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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.