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Finding the Fourth Proportional to 7,771.52, 10,649.96 and 7,024.16

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Solution

The fourth proportional to 7,771.52, 10,649.96 and 7,024.16 is: 9,625.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.52 : 10,649.96 = 7,024.16 : x
  2. Step 2: Convert to fraction form
    7,771.52/10,649.96 = 7,024.16/x
  3. Step 3: Cross multiply
    7,771.52x = 10,649.96 × 7,024.16
  4. Step 4: Simplify right side
    7,771.52x = 74,807,067.22
  5. Step 5: Solve for x
    x = 74,807,067.22/7,771.52
  6. Step 6: Final answer
    x = 9,625.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.