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Finding the Fourth Proportional to 8,194.98, 11,308.71 and 4,658.14

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Solution

The fourth proportional to 8,194.98, 11,308.71 and 4,658.14 is: 6,428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.98 : 11,308.71 = 4,658.14 : x
  2. Step 2: Convert to fraction form
    8,194.98/11,308.71 = 4,658.14/x
  3. Step 3: Cross multiply
    8,194.98x = 11,308.71 × 4,658.14
  4. Step 4: Simplify right side
    8,194.98x = 52,677,554.40
  5. Step 5: Solve for x
    x = 52,677,554.40/8,194.98
  6. Step 6: Final answer
    x = 6,428.03

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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.