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Finding the Fourth Proportional to 12,742.95, 17,587.38 and 7,079.52

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Solution

The fourth proportional to 12,742.95, 17,587.38 and 7,079.52 is: 9,770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.95 : 17,587.38 = 7,079.52 : x
  2. Step 2: Convert to fraction form
    12,742.95/17,587.38 = 7,079.52/x
  3. Step 3: Cross multiply
    12,742.95x = 17,587.38 × 7,079.52
  4. Step 4: Simplify right side
    12,742.95x = 124,510,208.46
  5. Step 5: Solve for x
    x = 124,510,208.46/12,742.95
  6. Step 6: Final answer
    x = 9,770.91

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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.