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Finding the Fourth Proportional to 7,723.88, 10,650.50 and 6,977.64

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Solution

The fourth proportional to 7,723.88, 10,650.50 and 6,977.64 is: 9,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.88 : 10,650.50 = 6,977.64 : x
  2. Step 2: Convert to fraction form
    7,723.88/10,650.50 = 6,977.64/x
  3. Step 3: Cross multiply
    7,723.88x = 10,650.50 × 6,977.64
  4. Step 4: Simplify right side
    7,723.88x = 74,315,354.82
  5. Step 5: Solve for x
    x = 74,315,354.82/7,723.88
  6. Step 6: Final answer
    x = 9,621.51

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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.