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Finding the Fourth Proportional to 10,519.68, 14,517.06 and 5,803.86

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Solution

The fourth proportional to 10,519.68, 14,517.06 and 5,803.86 is: 8,009.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.68 : 14,517.06 = 5,803.86 : x
  2. Step 2: Convert to fraction form
    10,519.68/14,517.06 = 5,803.86/x
  3. Step 3: Cross multiply
    10,519.68x = 14,517.06 × 5,803.86
  4. Step 4: Simplify right side
    10,519.68x = 84,254,983.85
  5. Step 5: Solve for x
    x = 84,254,983.85/10,519.68
  6. Step 6: Final answer
    x = 8,009.27

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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.