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Finding the Fourth Proportional to 8,646.37, 11,932.88 and 5,291.41

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Solution

The fourth proportional to 8,646.37, 11,932.88 and 5,291.41 is: 7,302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.37 : 11,932.88 = 5,291.41 : x
  2. Step 2: Convert to fraction form
    8,646.37/11,932.88 = 5,291.41/x
  3. Step 3: Cross multiply
    8,646.37x = 11,932.88 × 5,291.41
  4. Step 4: Simplify right side
    8,646.37x = 63,141,760.56
  5. Step 5: Solve for x
    x = 63,141,760.56/8,646.37
  6. Step 6: Final answer
    x = 7,302.69

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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.