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Finding the Fourth Proportional to 10,514.74, 14,510.46 and 5,799.22

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Solution

The fourth proportional to 10,514.74, 14,510.46 and 5,799.22 is: 8,002.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.74 : 14,510.46 = 5,799.22 : x
  2. Step 2: Convert to fraction form
    10,514.74/14,510.46 = 5,799.22/x
  3. Step 3: Cross multiply
    10,514.74x = 14,510.46 × 5,799.22
  4. Step 4: Simplify right side
    10,514.74x = 84,149,349.84
  5. Step 5: Solve for x
    x = 84,149,349.84/10,514.74
  6. Step 6: Final answer
    x = 8,002.99

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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.