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Finding the Fourth Proportional to 10,309.42, 14,227.08 and 5,593.72

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Solution

The fourth proportional to 10,309.42, 14,227.08 and 5,593.72 is: 7,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.42 : 14,227.08 = 5,593.72 : x
  2. Step 2: Convert to fraction form
    10,309.42/14,227.08 = 5,593.72/x
  3. Step 3: Cross multiply
    10,309.42x = 14,227.08 × 5,593.72
  4. Step 4: Simplify right side
    10,309.42x = 79,582,301.94
  5. Step 5: Solve for x
    x = 79,582,301.94/10,309.42
  6. Step 6: Final answer
    x = 7,719.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.