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Finding the Fourth Proportional to 10,456.70, 14,426.66 and 5,977.22

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Solution

The fourth proportional to 10,456.70, 14,426.66 and 5,977.22 is: 8,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.70 : 14,426.66 = 5,977.22 : x
  2. Step 2: Convert to fraction form
    10,456.70/14,426.66 = 5,977.22/x
  3. Step 3: Cross multiply
    10,456.70x = 14,426.66 × 5,977.22
  4. Step 4: Simplify right side
    10,456.70x = 86,231,290.80
  5. Step 5: Solve for x
    x = 86,231,290.80/10,456.70
  6. Step 6: Final answer
    x = 8,246.51

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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.