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Finding the Fourth Proportional to 10,216.80, 14,097.96 and 5,739.96

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Solution

The fourth proportional to 10,216.80, 14,097.96 and 5,739.96 is: 7,920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.80 : 14,097.96 = 5,739.96 : x
  2. Step 2: Convert to fraction form
    10,216.80/14,097.96 = 5,739.96/x
  3. Step 3: Cross multiply
    10,216.80x = 14,097.96 × 5,739.96
  4. Step 4: Simplify right side
    10,216.80x = 80,921,726.48
  5. Step 5: Solve for x
    x = 80,921,726.48/10,216.80
  6. Step 6: Final answer
    x = 7,920.46

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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.