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Finding the Fourth Proportional to 8,437.27, 11,643.48 and 4,660.39

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Solution

The fourth proportional to 8,437.27, 11,643.48 and 4,660.39 is: 6,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.27 : 11,643.48 = 4,660.39 : x
  2. Step 2: Convert to fraction form
    8,437.27/11,643.48 = 4,660.39/x
  3. Step 3: Cross multiply
    8,437.27x = 11,643.48 × 4,660.39
  4. Step 4: Simplify right side
    8,437.27x = 54,263,157.76
  5. Step 5: Solve for x
    x = 54,263,157.76/8,437.27
  6. Step 6: Final answer
    x = 6,431.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.