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Finding the Fourth Proportional to 11,714.06, 16,168.10 and 7,178.10

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Solution

The fourth proportional to 11,714.06, 16,168.10 and 7,178.10 is: 9,907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.06 : 16,168.10 = 7,178.10 : x
  2. Step 2: Convert to fraction form
    11,714.06/16,168.10 = 7,178.10/x
  3. Step 3: Cross multiply
    11,714.06x = 16,168.10 × 7,178.10
  4. Step 4: Simplify right side
    11,714.06x = 116,056,238.61
  5. Step 5: Solve for x
    x = 116,056,238.61/11,714.06
  6. Step 6: Final answer
    x = 9,907.43

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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.