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Finding the Fourth Proportional to 6,811.71, 10,218.11 and 1,881.32

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Solution

The fourth proportional to 6,811.71, 10,218.11 and 1,881.32 is: 2,822.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.71 : 10,218.11 = 1,881.32 : x
  2. Step 2: Convert to fraction form
    6,811.71/10,218.11 = 1,881.32/x
  3. Step 3: Cross multiply
    6,811.71x = 10,218.11 × 1,881.32
  4. Step 4: Simplify right side
    6,811.71x = 19,223,474.21
  5. Step 5: Solve for x
    x = 19,223,474.21/6,811.71
  6. Step 6: Final answer
    x = 2,822.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.