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Finding the Fourth Proportional to 7,444.72, 10,247.94 and 6,435.96

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Solution

The fourth proportional to 7,444.72, 10,247.94 and 6,435.96 is: 8,859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.72 : 10,247.94 = 6,435.96 : x
  2. Step 2: Convert to fraction form
    7,444.72/10,247.94 = 6,435.96/x
  3. Step 3: Cross multiply
    7,444.72x = 10,247.94 × 6,435.96
  4. Step 4: Simplify right side
    7,444.72x = 65,955,331.92
  5. Step 5: Solve for x
    x = 65,955,331.92/7,444.72
  6. Step 6: Final answer
    x = 8,859.34

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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.