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Finding the Fourth Proportional to 6,686.11, 10,043.67 and 5,228.11

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Solution

The fourth proportional to 6,686.11, 10,043.67 and 5,228.11 is: 7,853.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.11 : 10,043.67 = 5,228.11 : x
  2. Step 2: Convert to fraction form
    6,686.11/10,043.67 = 5,228.11/x
  3. Step 3: Cross multiply
    6,686.11x = 10,043.67 × 5,228.11
  4. Step 4: Simplify right side
    6,686.11x = 52,509,411.56
  5. Step 5: Solve for x
    x = 52,509,411.56/6,686.11
  6. Step 6: Final answer
    x = 7,853.51

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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.