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Finding the Fourth Proportional to 6,668.49, 10,002.72 and 5,897.57

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Solution

The fourth proportional to 6,668.49, 10,002.72 and 5,897.57 is: 8,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.49 : 10,002.72 = 5,897.57 : x
  2. Step 2: Convert to fraction form
    6,668.49/10,002.72 = 5,897.57/x
  3. Step 3: Cross multiply
    6,668.49x = 10,002.72 × 5,897.57
  4. Step 4: Simplify right side
    6,668.49x = 58,991,691.38
  5. Step 5: Solve for x
    x = 58,991,691.38/6,668.49
  6. Step 6: Final answer
    x = 8,846.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.