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Finding the Fourth Proportional to 10,519.84, 14,517.78 and 5,803.96

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Solution

The fourth proportional to 10,519.84, 14,517.78 and 5,803.96 is: 8,009.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.84 : 14,517.78 = 5,803.96 : x
  2. Step 2: Convert to fraction form
    10,519.84/14,517.78 = 5,803.96/x
  3. Step 3: Cross multiply
    10,519.84x = 14,517.78 × 5,803.96
  4. Step 4: Simplify right side
    10,519.84x = 84,260,614.41
  5. Step 5: Solve for x
    x = 84,260,614.41/10,519.84
  6. Step 6: Final answer
    x = 8,009.69

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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.