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Finding the Fourth Proportional to 7,859.70, 11,781.18 and 4,113.18

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Solution

The fourth proportional to 7,859.70, 11,781.18 and 4,113.18 is: 6,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.70 : 11,781.18 = 4,113.18 : x
  2. Step 2: Convert to fraction form
    7,859.70/11,781.18 = 4,113.18/x
  3. Step 3: Cross multiply
    7,859.70x = 11,781.18 × 4,113.18
  4. Step 4: Simplify right side
    7,859.70x = 48,458,113.95
  5. Step 5: Solve for x
    x = 48,458,113.95/7,859.70
  6. Step 6: Final answer
    x = 6,165.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.