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Finding the Fourth Proportional to 10,322.41, 14,244.91 and 5,606.70

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Solution

The fourth proportional to 10,322.41, 14,244.91 and 5,606.70 is: 7,737.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.41 : 14,244.91 = 5,606.70 : x
  2. Step 2: Convert to fraction form
    10,322.41/14,244.91 = 5,606.70/x
  3. Step 3: Cross multiply
    10,322.41x = 14,244.91 × 5,606.70
  4. Step 4: Simplify right side
    10,322.41x = 79,866,936.90
  5. Step 5: Solve for x
    x = 79,866,936.90/10,322.41
  6. Step 6: Final answer
    x = 7,737.24

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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.