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Finding the Fourth Proportional to 8,434.67, 11,642.00 and 5,249.88

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Solution

The fourth proportional to 8,434.67, 11,642.00 and 5,249.88 is: 7,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.67 : 11,642.00 = 5,249.88 : x
  2. Step 2: Convert to fraction form
    8,434.67/11,642.00 = 5,249.88/x
  3. Step 3: Cross multiply
    8,434.67x = 11,642.00 × 5,249.88
  4. Step 4: Simplify right side
    8,434.67x = 61,119,076.71
  5. Step 5: Solve for x
    x = 61,119,076.71/8,434.67
  6. Step 6: Final answer
    x = 7,246.18

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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.