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Finding the Fourth Proportional to 10,645.36, 15,968.14 and 3,719.88

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Solution

The fourth proportional to 10,645.36, 15,968.14 and 3,719.88 is: 5,579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.36 : 15,968.14 = 3,719.88 : x
  2. Step 2: Convert to fraction form
    10,645.36/15,968.14 = 3,719.88/x
  3. Step 3: Cross multiply
    10,645.36x = 15,968.14 × 3,719.88
  4. Step 4: Simplify right side
    10,645.36x = 59,399,564.62
  5. Step 5: Solve for x
    x = 59,399,564.62/10,645.36
  6. Step 6: Final answer
    x = 5,579.85

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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.