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Finding the Fourth Proportional to 10,746, 16,119.36 and 3,350.40

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Solution

The fourth proportional to 10,746, 16,119.36 and 3,350.40 is: 5,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746 : 16,119.36 = 3,350.40 : x
  2. Step 2: Convert to fraction form
    10,746/16,119.36 = 3,350.40/x
  3. Step 3: Cross multiply
    10,746x = 16,119.36 × 3,350.40
  4. Step 4: Simplify right side
    10,746x = 54,006,303.74
  5. Step 5: Solve for x
    x = 54,006,303.74/10,746
  6. Step 6: Final answer
    x = 5,025.71

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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.