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Finding the Fourth Proportional to 12,530.57, 18,789.97 and 7,267.08

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Solution

The fourth proportional to 12,530.57, 18,789.97 and 7,267.08 is: 10,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.57 : 18,789.97 = 7,267.08 : x
  2. Step 2: Convert to fraction form
    12,530.57/18,789.97 = 7,267.08/x
  3. Step 3: Cross multiply
    12,530.57x = 18,789.97 × 7,267.08
  4. Step 4: Simplify right side
    12,530.57x = 136,548,103.07
  5. Step 5: Solve for x
    x = 136,548,103.07/12,530.57
  6. Step 6: Final answer
    x = 10,897.20

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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.