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Finding the Fourth Proportional to 8,075, 12,117.36 and 3,458

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Solution

The fourth proportional to 8,075, 12,117.36 and 3,458 is: 5,189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075 : 12,117.36 = 3,458 : x
  2. Step 2: Convert to fraction form
    8,075/12,117.36 = 3,458/x
  3. Step 3: Cross multiply
    8,075x = 12,117.36 × 3,458
  4. Step 4: Simplify right side
    8,075x = 41,901,830.88
  5. Step 5: Solve for x
    x = 41,901,830.88/8,075
  6. Step 6: Final answer
    x = 5,189.08

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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.