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Finding the Fourth Proportional to 10,765.26, 14,857.38 and 6,050.40

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Solution

The fourth proportional to 10,765.26, 14,857.38 and 6,050.40 is: 8,350.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.26 : 14,857.38 = 6,050.40 : x
  2. Step 2: Convert to fraction form
    10,765.26/14,857.38 = 6,050.40/x
  3. Step 3: Cross multiply
    10,765.26x = 14,857.38 × 6,050.40
  4. Step 4: Simplify right side
    10,765.26x = 89,893,091.95
  5. Step 5: Solve for x
    x = 89,893,091.95/10,765.26
  6. Step 6: Final answer
    x = 8,350.29

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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.