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Finding the Fourth Proportional to 6,411.16, 8,847.84 and 4,053.16

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Solution

The fourth proportional to 6,411.16, 8,847.84 and 4,053.16 is: 5,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.16 : 8,847.84 = 4,053.16 : x
  2. Step 2: Convert to fraction form
    6,411.16/8,847.84 = 4,053.16/x
  3. Step 3: Cross multiply
    6,411.16x = 8,847.84 × 4,053.16
  4. Step 4: Simplify right side
    6,411.16x = 35,861,711.17
  5. Step 5: Solve for x
    x = 35,861,711.17/6,411.16
  6. Step 6: Final answer
    x = 5,593.64

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Why These Related Problems?

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