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Finding the Fourth Proportional to 10,322.44, 14,244.86 and 5,606.69

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Solution

The fourth proportional to 10,322.44, 14,244.86 and 5,606.69 is: 7,737.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.44 : 14,244.86 = 5,606.69 : x
  2. Step 2: Convert to fraction form
    10,322.44/14,244.86 = 5,606.69/x
  3. Step 3: Cross multiply
    10,322.44x = 14,244.86 × 5,606.69
  4. Step 4: Simplify right side
    10,322.44x = 79,866,456.91
  5. Step 5: Solve for x
    x = 79,866,456.91/10,322.44
  6. Step 6: Final answer
    x = 7,737.17

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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.