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Finding the Fourth Proportional to 12,745.89, 17,590.52 and 7,711.35

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Solution

The fourth proportional to 12,745.89, 17,590.52 and 7,711.35 is: 10,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,745.89 : 17,590.52 = 7,711.35 : x
  2. Step 2: Convert to fraction form
    12,745.89/17,590.52 = 7,711.35/x
  3. Step 3: Cross multiply
    12,745.89x = 17,590.52 × 7,711.35
  4. Step 4: Simplify right side
    12,745.89x = 135,646,714.08
  5. Step 5: Solve for x
    x = 135,646,714.08/12,745.89
  6. Step 6: Final answer
    x = 10,642.39

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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.