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Finding the Fourth Proportional to 10,101.73, 15,135.88 and 5,164.58

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Solution

The fourth proportional to 10,101.73, 15,135.88 and 5,164.58 is: 7,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.73 : 15,135.88 = 5,164.58 : x
  2. Step 2: Convert to fraction form
    10,101.73/15,135.88 = 5,164.58/x
  3. Step 3: Cross multiply
    10,101.73x = 15,135.88 × 5,164.58
  4. Step 4: Simplify right side
    10,101.73x = 78,170,400.36
  5. Step 5: Solve for x
    x = 78,170,400.36/10,101.73
  6. Step 6: Final answer
    x = 7,738.32

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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.