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Finding the Fourth Proportional to 7,662.24, 10,561.90 and 6,407.44

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Solution

The fourth proportional to 7,662.24, 10,561.90 and 6,407.44 is: 8,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.24 : 10,561.90 = 6,407.44 : x
  2. Step 2: Convert to fraction form
    7,662.24/10,561.90 = 6,407.44/x
  3. Step 3: Cross multiply
    7,662.24x = 10,561.90 × 6,407.44
  4. Step 4: Simplify right side
    7,662.24x = 67,674,740.54
  5. Step 5: Solve for x
    x = 67,674,740.54/7,662.24
  6. Step 6: Final answer
    x = 8,832.24

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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.