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Finding the Fourth Proportional to 27,235.88, 40,855.16 and 7,514

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Solution

The fourth proportional to 27,235.88, 40,855.16 and 7,514 is: 11,271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,235.88 : 40,855.16 = 7,514 : x
  2. Step 2: Convert to fraction form
    27,235.88/40,855.16 = 7,514/x
  3. Step 3: Cross multiply
    27,235.88x = 40,855.16 × 7,514
  4. Step 4: Simplify right side
    27,235.88x = 306,985,672.24
  5. Step 5: Solve for x
    x = 306,985,672.24/27,235.88
  6. Step 6: Final answer
    x = 11,271.37

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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.