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Finding the Fourth Proportional to 10,517.54, 15,768.46 and 6,356.60

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Solution

The fourth proportional to 10,517.54, 15,768.46 and 6,356.60 is: 9,530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.54 : 15,768.46 = 6,356.60 : x
  2. Step 2: Convert to fraction form
    10,517.54/15,768.46 = 6,356.60/x
  3. Step 3: Cross multiply
    10,517.54x = 15,768.46 × 6,356.60
  4. Step 4: Simplify right side
    10,517.54x = 100,233,816.37
  5. Step 5: Solve for x
    x = 100,233,816.37/10,517.54
  6. Step 6: Final answer
    x = 9,530.16

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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.