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Finding the Fourth Proportional to 8,175.53, 12,263.40 and 2,332.14

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Solution

The fourth proportional to 8,175.53, 12,263.40 and 2,332.14 is: 3,498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.53 : 12,263.40 = 2,332.14 : x
  2. Step 2: Convert to fraction form
    8,175.53/12,263.40 = 2,332.14/x
  3. Step 3: Cross multiply
    8,175.53x = 12,263.40 × 2,332.14
  4. Step 4: Simplify right side
    8,175.53x = 28,599,965.68
  5. Step 5: Solve for x
    x = 28,599,965.68/8,175.53
  6. Step 6: Final answer
    x = 3,498.24

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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.