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Finding the Fourth Proportional to 10,454.00, 14,426.42 and 5,738.18

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Solution

The fourth proportional to 10,454.00, 14,426.42 and 5,738.18 is: 7,918.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.00 : 14,426.42 = 5,738.18 : x
  2. Step 2: Convert to fraction form
    10,454.00/14,426.42 = 5,738.18/x
  3. Step 3: Cross multiply
    10,454.00x = 14,426.42 × 5,738.18
  4. Step 4: Simplify right side
    10,454.00x = 82,781,293.89
  5. Step 5: Solve for x
    x = 82,781,293.89/10,454.00
  6. Step 6: Final answer
    x = 7,918.63

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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.