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Finding the Fourth Proportional to 8,525.40, 11,770.46 and 5,841.16

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Solution

The fourth proportional to 8,525.40, 11,770.46 and 5,841.16 is: 8,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.40 : 11,770.46 = 5,841.16 : x
  2. Step 2: Convert to fraction form
    8,525.40/11,770.46 = 5,841.16/x
  3. Step 3: Cross multiply
    8,525.40x = 11,770.46 × 5,841.16
  4. Step 4: Simplify right side
    8,525.40x = 68,753,140.13
  5. Step 5: Solve for x
    x = 68,753,140.13/8,525.40
  6. Step 6: Final answer
    x = 8,064.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.