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Finding the Fourth Proportional to 12,115.58, 16,714.36 and 7,397.13

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Solution

The fourth proportional to 12,115.58, 16,714.36 and 7,397.13 is: 10,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.58 : 16,714.36 = 7,397.13 : x
  2. Step 2: Convert to fraction form
    12,115.58/16,714.36 = 7,397.13/x
  3. Step 3: Cross multiply
    12,115.58x = 16,714.36 × 7,397.13
  4. Step 4: Simplify right side
    12,115.58x = 123,638,191.72
  5. Step 5: Solve for x
    x = 123,638,191.72/12,115.58
  6. Step 6: Final answer
    x = 10,204.89

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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.