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Finding the Fourth Proportional to 10,761.12, 16,146.80 and 5,208.48

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Solution

The fourth proportional to 10,761.12, 16,146.80 and 5,208.48 is: 7,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.12 : 16,146.80 = 5,208.48 : x
  2. Step 2: Convert to fraction form
    10,761.12/16,146.80 = 5,208.48/x
  3. Step 3: Cross multiply
    10,761.12x = 16,146.80 × 5,208.48
  4. Step 4: Simplify right side
    10,761.12x = 84,100,284.86
  5. Step 5: Solve for x
    x = 84,100,284.86/10,761.12
  6. Step 6: Final answer
    x = 7,815.20

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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.