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Finding the Fourth Proportional to 10,514.85, 14,509.83 and 5,799.25

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Solution

The fourth proportional to 10,514.85, 14,509.83 and 5,799.25 is: 8,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.85 : 14,509.83 = 5,799.25 : x
  2. Step 2: Convert to fraction form
    10,514.85/14,509.83 = 5,799.25/x
  3. Step 3: Cross multiply
    10,514.85x = 14,509.83 × 5,799.25
  4. Step 4: Simplify right side
    10,514.85x = 84,146,131.63
  5. Step 5: Solve for x
    x = 84,146,131.63/10,514.85
  6. Step 6: Final answer
    x = 8,002.60

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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.