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Finding the Fourth Proportional to 8,518.30, 11,755.14 and 4,741.63

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Solution

The fourth proportional to 8,518.30, 11,755.14 and 4,741.63 is: 6,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,518.30 : 11,755.14 = 4,741.63 : x
  2. Step 2: Convert to fraction form
    8,518.30/11,755.14 = 4,741.63/x
  3. Step 3: Cross multiply
    8,518.30x = 11,755.14 × 4,741.63
  4. Step 4: Simplify right side
    8,518.30x = 55,738,465.70
  5. Step 5: Solve for x
    x = 55,738,465.70/8,518.30
  6. Step 6: Final answer
    x = 6,543.38

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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.