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Finding the Fourth Proportional to 10,126.22, 13,973.11 and 5,650.16

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Solution

The fourth proportional to 10,126.22, 13,973.11 and 5,650.16 is: 7,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.22 : 13,973.11 = 5,650.16 : x
  2. Step 2: Convert to fraction form
    10,126.22/13,973.11 = 5,650.16/x
  3. Step 3: Cross multiply
    10,126.22x = 13,973.11 × 5,650.16
  4. Step 4: Simplify right side
    10,126.22x = 78,950,223.21
  5. Step 5: Solve for x
    x = 78,950,223.21/10,126.22
  6. Step 6: Final answer
    x = 7,796.62

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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.