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Finding the Fourth Proportional to 10,757.52, 14,844.84 and 6,509.52

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Solution

The fourth proportional to 10,757.52, 14,844.84 and 6,509.52 is: 8,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.52 : 14,844.84 = 6,509.52 : x
  2. Step 2: Convert to fraction form
    10,757.52/14,844.84 = 6,509.52/x
  3. Step 3: Cross multiply
    10,757.52x = 14,844.84 × 6,509.52
  4. Step 4: Simplify right side
    10,757.52x = 96,632,782.88
  5. Step 5: Solve for x
    x = 96,632,782.88/10,757.52
  6. Step 6: Final answer
    x = 8,982.81

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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.