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Finding the Fourth Proportional to 7,838.28, 10,816.11 and 4,480.99

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Solution

The fourth proportional to 7,838.28, 10,816.11 and 4,480.99 is: 6,183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.28 : 10,816.11 = 4,480.99 : x
  2. Step 2: Convert to fraction form
    7,838.28/10,816.11 = 4,480.99/x
  3. Step 3: Cross multiply
    7,838.28x = 10,816.11 × 4,480.99
  4. Step 4: Simplify right side
    7,838.28x = 48,466,853.71
  5. Step 5: Solve for x
    x = 48,466,853.71/7,838.28
  6. Step 6: Final answer
    x = 6,183.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.