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Finding the Fourth Proportional to 10,514.76, 14,510.34 and 5,799.32

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Solution

The fourth proportional to 10,514.76, 14,510.34 and 5,799.32 is: 8,003.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.76 : 14,510.34 = 5,799.32 : x
  2. Step 2: Convert to fraction form
    10,514.76/14,510.34 = 5,799.32/x
  3. Step 3: Cross multiply
    10,514.76x = 14,510.34 × 5,799.32
  4. Step 4: Simplify right side
    10,514.76x = 84,150,104.97
  5. Step 5: Solve for x
    x = 84,150,104.97/10,514.76
  6. Step 6: Final answer
    x = 8,003.05

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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.