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Finding the Fourth Proportional to 10,514.80, 14,510.10 and 5,799.04

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Solution

The fourth proportional to 10,514.80, 14,510.10 and 5,799.04 is: 8,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.80 : 14,510.10 = 5,799.04 : x
  2. Step 2: Convert to fraction form
    10,514.80/14,510.10 = 5,799.04/x
  3. Step 3: Cross multiply
    10,514.80x = 14,510.10 × 5,799.04
  4. Step 4: Simplify right side
    10,514.80x = 84,144,650.30
  5. Step 5: Solve for x
    x = 84,144,650.30/10,514.80
  6. Step 6: Final answer
    x = 8,002.50

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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.