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Finding the Fourth Proportional to 12,385.71, 17,090.19 and 7,079.40

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Solution

The fourth proportional to 12,385.71, 17,090.19 and 7,079.40 is: 9,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.71 : 17,090.19 = 7,079.40 : x
  2. Step 2: Convert to fraction form
    12,385.71/17,090.19 = 7,079.40/x
  3. Step 3: Cross multiply
    12,385.71x = 17,090.19 × 7,079.40
  4. Step 4: Simplify right side
    12,385.71x = 120,988,291.09
  5. Step 5: Solve for x
    x = 120,988,291.09/12,385.71
  6. Step 6: Final answer
    x = 9,768.38

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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.