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Finding the Fourth Proportional to 8,337.94, 11,506.35 and 5,194.13

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Solution

The fourth proportional to 8,337.94, 11,506.35 and 5,194.13 is: 7,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.94 : 11,506.35 = 5,194.13 : x
  2. Step 2: Convert to fraction form
    8,337.94/11,506.35 = 5,194.13/x
  3. Step 3: Cross multiply
    8,337.94x = 11,506.35 × 5,194.13
  4. Step 4: Simplify right side
    8,337.94x = 59,765,439.67
  5. Step 5: Solve for x
    x = 59,765,439.67/8,337.94
  6. Step 6: Final answer
    x = 7,167.89

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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.