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Finding the Fourth Proportional to 10,514.63, 14,510.25 and 5,799.08

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Solution

The fourth proportional to 10,514.63, 14,510.25 and 5,799.08 is: 8,002.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.63 : 14,510.25 = 5,799.08 : x
  2. Step 2: Convert to fraction form
    10,514.63/14,510.25 = 5,799.08/x
  3. Step 3: Cross multiply
    10,514.63x = 14,510.25 × 5,799.08
  4. Step 4: Simplify right side
    10,514.63x = 84,146,028.02
  5. Step 5: Solve for x
    x = 84,146,028.02/10,514.63
  6. Step 6: Final answer
    x = 8,002.76

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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.