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Finding the Fourth Proportional to 6,278.09, 8,656.34 and 5,155.43

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Solution

The fourth proportional to 6,278.09, 8,656.34 and 5,155.43 is: 7,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.09 : 8,656.34 = 5,155.43 : x
  2. Step 2: Convert to fraction form
    6,278.09/8,656.34 = 5,155.43/x
  3. Step 3: Cross multiply
    6,278.09x = 8,656.34 × 5,155.43
  4. Step 4: Simplify right side
    6,278.09x = 44,627,085.87
  5. Step 5: Solve for x
    x = 44,627,085.87/6,278.09
  6. Step 6: Final answer
    x = 7,108.39

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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.