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Finding the Fourth Proportional to 35,760.08, 53,640.12 and 11,138

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Solution

The fourth proportional to 35,760.08, 53,640.12 and 11,138 is: 16,707

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,760.08 : 53,640.12 = 11,138 : x
  2. Step 2: Convert to fraction form
    35,760.08/53,640.12 = 11,138/x
  3. Step 3: Cross multiply
    35,760.08x = 53,640.12 × 11,138
  4. Step 4: Simplify right side
    35,760.08x = 597,443,656.56
  5. Step 5: Solve for x
    x = 597,443,656.56/35,760.08
  6. Step 6: Final answer
    x = 16,707

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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.