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Finding the Fourth Proportional to 10,309.74, 14,227.50 and 5,594.04

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Solution

The fourth proportional to 10,309.74, 14,227.50 and 5,594.04 is: 7,719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.74 : 14,227.50 = 5,594.04 : x
  2. Step 2: Convert to fraction form
    10,309.74/14,227.50 = 5,594.04/x
  3. Step 3: Cross multiply
    10,309.74x = 14,227.50 × 5,594.04
  4. Step 4: Simplify right side
    10,309.74x = 79,589,204.10
  5. Step 5: Solve for x
    x = 79,589,204.10/10,309.74
  6. Step 6: Final answer
    x = 7,719.81

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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.