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Finding the Fourth Proportional to 10,803.20, 16,204.80 and 6,356.30

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Solution

The fourth proportional to 10,803.20, 16,204.80 and 6,356.30 is: 9,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.20 : 16,204.80 = 6,356.30 : x
  2. Step 2: Convert to fraction form
    10,803.20/16,204.80 = 6,356.30/x
  3. Step 3: Cross multiply
    10,803.20x = 16,204.80 × 6,356.30
  4. Step 4: Simplify right side
    10,803.20x = 103,002,570.24
  5. Step 5: Solve for x
    x = 103,002,570.24/10,803.20
  6. Step 6: Final answer
    x = 9,534.45

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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.