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Finding the Fourth Proportional to 10,514.98, 14,510.71 and 5,799.24

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Solution

The fourth proportional to 10,514.98, 14,510.71 and 5,799.24 is: 8,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.98 : 14,510.71 = 5,799.24 : x
  2. Step 2: Convert to fraction form
    10,514.98/14,510.71 = 5,799.24/x
  3. Step 3: Cross multiply
    10,514.98x = 14,510.71 × 5,799.24
  4. Step 4: Simplify right side
    10,514.98x = 84,151,089.86
  5. Step 5: Solve for x
    x = 84,151,089.86/10,514.98
  6. Step 6: Final answer
    x = 8,002.97

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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.