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Finding the Fourth Proportional to 6,411.94, 8,845.48 and 4,021.14

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Solution

The fourth proportional to 6,411.94, 8,845.48 and 4,021.14 is: 5,547.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.94 : 8,845.48 = 4,021.14 : x
  2. Step 2: Convert to fraction form
    6,411.94/8,845.48 = 4,021.14/x
  3. Step 3: Cross multiply
    6,411.94x = 8,845.48 × 4,021.14
  4. Step 4: Simplify right side
    6,411.94x = 35,568,913.45
  5. Step 5: Solve for x
    x = 35,568,913.45/6,411.94
  6. Step 6: Final answer
    x = 5,547.29

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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.