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Finding the Fourth Proportional to 7,831, 10,813.80 and 5,041.36

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Solution

The fourth proportional to 7,831, 10,813.80 and 5,041.36 is: 6,961.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831 : 10,813.80 = 5,041.36 : x
  2. Step 2: Convert to fraction form
    7,831/10,813.80 = 5,041.36/x
  3. Step 3: Cross multiply
    7,831x = 10,813.80 × 5,041.36
  4. Step 4: Simplify right side
    7,831x = 54,516,258.77
  5. Step 5: Solve for x
    x = 54,516,258.77/7,831
  6. Step 6: Final answer
    x = 6,961.60

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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.