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Finding the Fourth Proportional to 10,514.93, 14,510.38 and 5,799.21

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Solution

The fourth proportional to 10,514.93, 14,510.38 and 5,799.21 is: 8,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.93 : 14,510.38 = 5,799.21 : x
  2. Step 2: Convert to fraction form
    10,514.93/14,510.38 = 5,799.21/x
  3. Step 3: Cross multiply
    10,514.93x = 14,510.38 × 5,799.21
  4. Step 4: Simplify right side
    10,514.93x = 84,148,695.01
  5. Step 5: Solve for x
    x = 84,148,695.01/10,514.93
  6. Step 6: Final answer
    x = 8,002.78

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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.