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Finding the Fourth Proportional to 7,322.71, 10,105.24 and 3,965.46

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Solution

The fourth proportional to 7,322.71, 10,105.24 and 3,965.46 is: 5,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.71 : 10,105.24 = 3,965.46 : x
  2. Step 2: Convert to fraction form
    7,322.71/10,105.24 = 3,965.46/x
  3. Step 3: Cross multiply
    7,322.71x = 10,105.24 × 3,965.46
  4. Step 4: Simplify right side
    7,322.71x = 40,071,925.01
  5. Step 5: Solve for x
    x = 40,071,925.01/7,322.71
  6. Step 6: Final answer
    x = 5,472.28

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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.