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Finding the Fourth Proportional to 7,901.52, 10,906.20 and 4,757.28

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Solution

The fourth proportional to 7,901.52, 10,906.20 and 4,757.28 is: 6,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.52 : 10,906.20 = 4,757.28 : x
  2. Step 2: Convert to fraction form
    7,901.52/10,906.20 = 4,757.28/x
  3. Step 3: Cross multiply
    7,901.52x = 10,906.20 × 4,757.28
  4. Step 4: Simplify right side
    7,901.52x = 51,883,847.14
  5. Step 5: Solve for x
    x = 51,883,847.14/7,901.52
  6. Step 6: Final answer
    x = 6,566.31

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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.