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Finding the Fourth Proportional to 10,256.80, 15,375.36 and 6,548.56

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Solution

The fourth proportional to 10,256.80, 15,375.36 and 6,548.56 is: 9,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.80 : 15,375.36 = 6,548.56 : x
  2. Step 2: Convert to fraction form
    10,256.80/15,375.36 = 6,548.56/x
  3. Step 3: Cross multiply
    10,256.80x = 15,375.36 × 6,548.56
  4. Step 4: Simplify right side
    10,256.80x = 100,686,467.48
  5. Step 5: Solve for x
    x = 100,686,467.48/10,256.80
  6. Step 6: Final answer
    x = 9,816.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.