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Finding the Fourth Proportional to 12,097.96, 16,694.98 and 7,129

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Solution

The fourth proportional to 12,097.96, 16,694.98 and 7,129 is: 9,837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.96 : 16,694.98 = 7,129 : x
  2. Step 2: Convert to fraction form
    12,097.96/16,694.98 = 7,129/x
  3. Step 3: Cross multiply
    12,097.96x = 16,694.98 × 7,129
  4. Step 4: Simplify right side
    12,097.96x = 119,018,512.42
  5. Step 5: Solve for x
    x = 119,018,512.42/12,097.96
  6. Step 6: Final answer
    x = 9,837.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.