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Finding the Fourth Proportional to 10,002.26, 13,794.22 and 6,461.76

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Solution

The fourth proportional to 10,002.26, 13,794.22 and 6,461.76 is: 8,911.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.26 : 13,794.22 = 6,461.76 : x
  2. Step 2: Convert to fraction form
    10,002.26/13,794.22 = 6,461.76/x
  3. Step 3: Cross multiply
    10,002.26x = 13,794.22 × 6,461.76
  4. Step 4: Simplify right side
    10,002.26x = 89,134,939.03
  5. Step 5: Solve for x
    x = 89,134,939.03/10,002.26
  6. Step 6: Final answer
    x = 8,911.48

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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.