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Finding the Fourth Proportional to 8,714.02, 13,087.85 and 7,467.43

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Solution

The fourth proportional to 8,714.02, 13,087.85 and 7,467.43 is: 11,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.02 : 13,087.85 = 7,467.43 : x
  2. Step 2: Convert to fraction form
    8,714.02/13,087.85 = 7,467.43/x
  3. Step 3: Cross multiply
    8,714.02x = 13,087.85 × 7,467.43
  4. Step 4: Simplify right side
    8,714.02x = 97,732,603.73
  5. Step 5: Solve for x
    x = 97,732,603.73/8,714.02
  6. Step 6: Final answer
    x = 11,215.56

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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.