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Finding the Fourth Proportional to 10,634.43, 14,695.77 and 7,977.22

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Solution

The fourth proportional to 10,634.43, 14,695.77 and 7,977.22 is: 11,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.43 : 14,695.77 = 7,977.22 : x
  2. Step 2: Convert to fraction form
    10,634.43/14,695.77 = 7,977.22/x
  3. Step 3: Cross multiply
    10,634.43x = 14,695.77 × 7,977.22
  4. Step 4: Simplify right side
    10,634.43x = 117,231,390.36
  5. Step 5: Solve for x
    x = 117,231,390.36/10,634.43
  6. Step 6: Final answer
    x = 11,023.76

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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.