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Finding the Fourth Proportional to 10,092.48, 15,138.72 and 4,544.64

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Solution

The fourth proportional to 10,092.48, 15,138.72 and 4,544.64 is: 6,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.48 : 15,138.72 = 4,544.64 : x
  2. Step 2: Convert to fraction form
    10,092.48/15,138.72 = 4,544.64/x
  3. Step 3: Cross multiply
    10,092.48x = 15,138.72 × 4,544.64
  4. Step 4: Simplify right side
    10,092.48x = 68,800,032.46
  5. Step 5: Solve for x
    x = 68,800,032.46/10,092.48
  6. Step 6: Final answer
    x = 6,816.96

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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.