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Finding the Fourth Proportional to 8,116.58, 12,175.42 and 2,570.16

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Solution

The fourth proportional to 8,116.58, 12,175.42 and 2,570.16 is: 3,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.58 : 12,175.42 = 2,570.16 : x
  2. Step 2: Convert to fraction form
    8,116.58/12,175.42 = 2,570.16/x
  3. Step 3: Cross multiply
    8,116.58x = 12,175.42 × 2,570.16
  4. Step 4: Simplify right side
    8,116.58x = 31,292,777.47
  5. Step 5: Solve for x
    x = 31,292,777.47/8,116.58
  6. Step 6: Final answer
    x = 3,855.41

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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.