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Finding the Fourth Proportional to 10,453.88, 14,426.36 and 5,738.46

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Solution

The fourth proportional to 10,453.88, 14,426.36 and 5,738.46 is: 7,919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.88 : 14,426.36 = 5,738.46 : x
  2. Step 2: Convert to fraction form
    10,453.88/14,426.36 = 5,738.46/x
  3. Step 3: Cross multiply
    10,453.88x = 14,426.36 × 5,738.46
  4. Step 4: Simplify right side
    10,453.88x = 82,785,061.11
  5. Step 5: Solve for x
    x = 82,785,061.11/10,453.88
  6. Step 6: Final answer
    x = 7,919.08

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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.