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Finding the Fourth Proportional to 11,841.92, 16,342.38 and 6,807.76

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Solution

The fourth proportional to 11,841.92, 16,342.38 and 6,807.76 is: 9,395.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.92 : 16,342.38 = 6,807.76 : x
  2. Step 2: Convert to fraction form
    11,841.92/16,342.38 = 6,807.76/x
  3. Step 3: Cross multiply
    11,841.92x = 16,342.38 × 6,807.76
  4. Step 4: Simplify right side
    11,841.92x = 111,255,000.87
  5. Step 5: Solve for x
    x = 111,255,000.87/11,841.92
  6. Step 6: Final answer
    x = 9,395.01

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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.