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Finding the Fourth Proportional to 10,494.60, 15,744.48 and 3,099.02

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Solution

The fourth proportional to 10,494.60, 15,744.48 and 3,099.02 is: 4,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.60 : 15,744.48 = 3,099.02 : x
  2. Step 2: Convert to fraction form
    10,494.60/15,744.48 = 3,099.02/x
  3. Step 3: Cross multiply
    10,494.60x = 15,744.48 × 3,099.02
  4. Step 4: Simplify right side
    10,494.60x = 48,792,458.41
  5. Step 5: Solve for x
    x = 48,792,458.41/10,494.60
  6. Step 6: Final answer
    x = 4,649.29

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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.