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Finding the Fourth Proportional to 7,782.72, 10,727.35 and 5,514.82

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Solution

The fourth proportional to 7,782.72, 10,727.35 and 5,514.82 is: 7,601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.72 : 10,727.35 = 5,514.82 : x
  2. Step 2: Convert to fraction form
    7,782.72/10,727.35 = 5,514.82/x
  3. Step 3: Cross multiply
    7,782.72x = 10,727.35 × 5,514.82
  4. Step 4: Simplify right side
    7,782.72x = 59,159,376.75
  5. Step 5: Solve for x
    x = 59,159,376.75/7,782.72
  6. Step 6: Final answer
    x = 7,601.38

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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.