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Finding the Fourth Proportional to 10,313.11, 14,232.11 and 5,597.39

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Solution

The fourth proportional to 10,313.11, 14,232.11 and 5,597.39 is: 7,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.11 : 14,232.11 = 5,597.39 : x
  2. Step 2: Convert to fraction form
    10,313.11/14,232.11 = 5,597.39/x
  3. Step 3: Cross multiply
    10,313.11x = 14,232.11 × 5,597.39
  4. Step 4: Simplify right side
    10,313.11x = 79,662,642.21
  5. Step 5: Solve for x
    x = 79,662,642.21/10,313.11
  6. Step 6: Final answer
    x = 7,724.41

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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.