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Finding the Fourth Proportional to 10,099.79, 15,132.98 and 5,162.64

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Solution

The fourth proportional to 10,099.79, 15,132.98 and 5,162.64 is: 7,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.79 : 15,132.98 = 5,162.64 : x
  2. Step 2: Convert to fraction form
    10,099.79/15,132.98 = 5,162.64/x
  3. Step 3: Cross multiply
    10,099.79x = 15,132.98 × 5,162.64
  4. Step 4: Simplify right side
    10,099.79x = 78,126,054.99
  5. Step 5: Solve for x
    x = 78,126,054.99/10,099.79
  6. Step 6: Final answer
    x = 7,735.41

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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.