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Finding the Fourth Proportional to 8,189.62, 11,302.07 and 4,605.70

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Solution

The fourth proportional to 8,189.62, 11,302.07 and 4,605.70 is: 6,356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.62 : 11,302.07 = 4,605.70 : x
  2. Step 2: Convert to fraction form
    8,189.62/11,302.07 = 4,605.70/x
  3. Step 3: Cross multiply
    8,189.62x = 11,302.07 × 4,605.70
  4. Step 4: Simplify right side
    8,189.62x = 52,053,943.80
  5. Step 5: Solve for x
    x = 52,053,943.80/8,189.62
  6. Step 6: Final answer
    x = 6,356.09

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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.