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Finding the Fourth Proportional to 7,960.20, 10,977.74 and 5,411.79

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Solution

The fourth proportional to 7,960.20, 10,977.74 and 5,411.79 is: 7,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.20 : 10,977.74 = 5,411.79 : x
  2. Step 2: Convert to fraction form
    7,960.20/10,977.74 = 5,411.79/x
  3. Step 3: Cross multiply
    7,960.20x = 10,977.74 × 5,411.79
  4. Step 4: Simplify right side
    7,960.20x = 59,409,196.50
  5. Step 5: Solve for x
    x = 59,409,196.50/7,960.20
  6. Step 6: Final answer
    x = 7,463.28

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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.