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Finding the Fourth Proportional to 7,838.96, 10,816.88 and 4,651.11

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Solution

The fourth proportional to 7,838.96, 10,816.88 and 4,651.11 is: 6,418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.96 : 10,816.88 = 4,651.11 : x
  2. Step 2: Convert to fraction form
    7,838.96/10,816.88 = 4,651.11/x
  3. Step 3: Cross multiply
    7,838.96x = 10,816.88 × 4,651.11
  4. Step 4: Simplify right side
    7,838.96x = 50,310,475.48
  5. Step 5: Solve for x
    x = 50,310,475.48/7,838.96
  6. Step 6: Final answer
    x = 6,418.01

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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.