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Finding the Fourth Proportional to 10,762.32, 16,142.87 and 3,365.90

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Solution

The fourth proportional to 10,762.32, 16,142.87 and 3,365.90 is: 5,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.32 : 16,142.87 = 3,365.90 : x
  2. Step 2: Convert to fraction form
    10,762.32/16,142.87 = 3,365.90/x
  3. Step 3: Cross multiply
    10,762.32x = 16,142.87 × 3,365.90
  4. Step 4: Simplify right side
    10,762.32x = 54,335,309.66
  5. Step 5: Solve for x
    x = 54,335,309.66/10,762.32
  6. Step 6: Final answer
    x = 5,048.66

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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.