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Finding the Fourth Proportional to 11,843.92, 16,342.81 and 7,870.87

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Solution

The fourth proportional to 11,843.92, 16,342.81 and 7,870.87 is: 10,860.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.92 : 16,342.81 = 7,870.87 : x
  2. Step 2: Convert to fraction form
    11,843.92/16,342.81 = 7,870.87/x
  3. Step 3: Cross multiply
    11,843.92x = 16,342.81 × 7,870.87
  4. Step 4: Simplify right side
    11,843.92x = 128,632,132.94
  5. Step 5: Solve for x
    x = 128,632,132.94/11,843.92
  6. Step 6: Final answer
    x = 10,860.60

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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.