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Finding the Fourth Proportional to 10,505.54, 15,760.62 and 3,110.58

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Solution

The fourth proportional to 10,505.54, 15,760.62 and 3,110.58 is: 4,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.54 : 15,760.62 = 3,110.58 : x
  2. Step 2: Convert to fraction form
    10,505.54/15,760.62 = 3,110.58/x
  3. Step 3: Cross multiply
    10,505.54x = 15,760.62 × 3,110.58
  4. Step 4: Simplify right side
    10,505.54x = 49,024,622.85
  5. Step 5: Solve for x
    x = 49,024,622.85/10,505.54
  6. Step 6: Final answer
    x = 4,666.55

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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.