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Finding the Fourth Proportional to 10,216.41, 15,319.11 and 3,099.66

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Solution

The fourth proportional to 10,216.41, 15,319.11 and 3,099.66 is: 4,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.41 : 15,319.11 = 3,099.66 : x
  2. Step 2: Convert to fraction form
    10,216.41/15,319.11 = 3,099.66/x
  3. Step 3: Cross multiply
    10,216.41x = 15,319.11 × 3,099.66
  4. Step 4: Simplify right side
    10,216.41x = 47,483,986.68
  5. Step 5: Solve for x
    x = 47,483,986.68/10,216.41
  6. Step 6: Final answer
    x = 4,647.82

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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.