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Finding the Fourth Proportional to 12,034.31, 16,607.72 and 6,730.07

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Solution

The fourth proportional to 12,034.31, 16,607.72 and 6,730.07 is: 9,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.31 : 16,607.72 = 6,730.07 : x
  2. Step 2: Convert to fraction form
    12,034.31/16,607.72 = 6,730.07/x
  3. Step 3: Cross multiply
    12,034.31x = 16,607.72 × 6,730.07
  4. Step 4: Simplify right side
    12,034.31x = 111,771,118.14
  5. Step 5: Solve for x
    x = 111,771,118.14/12,034.31
  6. Step 6: Final answer
    x = 9,287.70

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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.