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Finding the Fourth Proportional to 12,530.44, 17,290.75 and 7,493.65

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Solution

The fourth proportional to 12,530.44, 17,290.75 and 7,493.65 is: 10,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.44 : 17,290.75 = 7,493.65 : x
  2. Step 2: Convert to fraction form
    12,530.44/17,290.75 = 7,493.65/x
  3. Step 3: Cross multiply
    12,530.44x = 17,290.75 × 7,493.65
  4. Step 4: Simplify right side
    12,530.44x = 129,570,828.74
  5. Step 5: Solve for x
    x = 129,570,828.74/12,530.44
  6. Step 6: Final answer
    x = 10,340.49

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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.