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Finding the Fourth Proportional to 12,740.74, 17,582.38 and 7,075.84

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Solution

The fourth proportional to 12,740.74, 17,582.38 and 7,075.84 is: 9,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.74 : 17,582.38 = 7,075.84 : x
  2. Step 2: Convert to fraction form
    12,740.74/17,582.38 = 7,075.84/x
  3. Step 3: Cross multiply
    12,740.74x = 17,582.38 × 7,075.84
  4. Step 4: Simplify right side
    12,740.74x = 124,410,107.70
  5. Step 5: Solve for x
    x = 124,410,107.70/12,740.74
  6. Step 6: Final answer
    x = 9,764.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.