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Finding the Fourth Proportional to 10,322.71, 14,245.25 and 5,606.99

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Solution

The fourth proportional to 10,322.71, 14,245.25 and 5,606.99 is: 7,737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.71 : 14,245.25 = 5,606.99 : x
  2. Step 2: Convert to fraction form
    10,322.71/14,245.25 = 5,606.99/x
  3. Step 3: Cross multiply
    10,322.71x = 14,245.25 × 5,606.99
  4. Step 4: Simplify right side
    10,322.71x = 79,872,917.09
  5. Step 5: Solve for x
    x = 79,872,917.09/10,322.71
  6. Step 6: Final answer
    x = 7,737.59

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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.