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Finding the Fourth Proportional to 10,313, 14,231.86 and 5,597.29

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Solution

The fourth proportional to 10,313, 14,231.86 and 5,597.29 is: 7,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313 : 14,231.86 = 5,597.29 : x
  2. Step 2: Convert to fraction form
    10,313/14,231.86 = 5,597.29/x
  3. Step 3: Cross multiply
    10,313x = 14,231.86 × 5,597.29
  4. Step 4: Simplify right side
    10,313x = 79,659,847.66
  5. Step 5: Solve for x
    x = 79,659,847.66/10,313
  6. Step 6: Final answer
    x = 7,724.22

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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.