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Finding the Fourth Proportional to 10,993.86, 16,491.53 and 4,419.23

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Solution

The fourth proportional to 10,993.86, 16,491.53 and 4,419.23 is: 6,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.86 : 16,491.53 = 4,419.23 : x
  2. Step 2: Convert to fraction form
    10,993.86/16,491.53 = 4,419.23/x
  3. Step 3: Cross multiply
    10,993.86x = 16,491.53 × 4,419.23
  4. Step 4: Simplify right side
    10,993.86x = 72,879,792.71
  5. Step 5: Solve for x
    x = 72,879,792.71/10,993.86
  6. Step 6: Final answer
    x = 6,629.14

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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.