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Finding the Fourth Proportional to 11,902.32, 16,424.90 and 6,597.08

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Solution

The fourth proportional to 11,902.32, 16,424.90 and 6,597.08 is: 9,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.32 : 16,424.90 = 6,597.08 : x
  2. Step 2: Convert to fraction form
    11,902.32/16,424.90 = 6,597.08/x
  3. Step 3: Cross multiply
    11,902.32x = 16,424.90 × 6,597.08
  4. Step 4: Simplify right side
    11,902.32x = 108,356,379.29
  5. Step 5: Solve for x
    x = 108,356,379.29/11,902.32
  6. Step 6: Final answer
    x = 9,103.80

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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.