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Finding the Fourth Proportional to 12,508.72, 17,266.37 and 7,205.65

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Solution

The fourth proportional to 12,508.72, 17,266.37 and 7,205.65 is: 9,946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,508.72 : 17,266.37 = 7,205.65 : x
  2. Step 2: Convert to fraction form
    12,508.72/17,266.37 = 7,205.65/x
  3. Step 3: Cross multiply
    12,508.72x = 17,266.37 × 7,205.65
  4. Step 4: Simplify right side
    12,508.72x = 124,415,296.63
  5. Step 5: Solve for x
    x = 124,415,296.63/12,508.72
  6. Step 6: Final answer
    x = 9,946.29

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