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Finding the Fourth Proportional to 10,057.70, 13,877.46 and 6,078.04

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Solution

The fourth proportional to 10,057.70, 13,877.46 and 6,078.04 is: 8,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.70 : 13,877.46 = 6,078.04 : x
  2. Step 2: Convert to fraction form
    10,057.70/13,877.46 = 6,078.04/x
  3. Step 3: Cross multiply
    10,057.70x = 13,877.46 × 6,078.04
  4. Step 4: Simplify right side
    10,057.70x = 84,347,722.28
  5. Step 5: Solve for x
    x = 84,347,722.28/10,057.70
  6. Step 6: Final answer
    x = 8,386.38

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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.