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Finding the Fourth Proportional to 10,309.94, 15,464.77 and 2,518.82

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Solution

The fourth proportional to 10,309.94, 15,464.77 and 2,518.82 is: 3,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.94 : 15,464.77 = 2,518.82 : x
  2. Step 2: Convert to fraction form
    10,309.94/15,464.77 = 2,518.82/x
  3. Step 3: Cross multiply
    10,309.94x = 15,464.77 × 2,518.82
  4. Step 4: Simplify right side
    10,309.94x = 38,952,971.97
  5. Step 5: Solve for x
    x = 38,952,971.97/10,309.94
  6. Step 6: Final answer
    x = 3,778.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.