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Finding the Fourth Proportional to 10,453.98, 14,426.42 and 5,738.22

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Solution

The fourth proportional to 10,453.98, 14,426.42 and 5,738.22 is: 7,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.98 : 14,426.42 = 5,738.22 : x
  2. Step 2: Convert to fraction form
    10,453.98/14,426.42 = 5,738.22/x
  3. Step 3: Cross multiply
    10,453.98x = 14,426.42 × 5,738.22
  4. Step 4: Simplify right side
    10,453.98x = 82,781,971.77
  5. Step 5: Solve for x
    x = 82,781,971.77/10,453.98
  6. Step 6: Final answer
    x = 7,918.70

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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.