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Finding the Fourth Proportional to 11,902.88, 16,425.97 and 6,598.49

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Solution

The fourth proportional to 11,902.88, 16,425.97 and 6,598.49 is: 9,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.88 : 16,425.97 = 6,598.49 : x
  2. Step 2: Convert to fraction form
    11,902.88/16,425.97 = 6,598.49/x
  3. Step 3: Cross multiply
    11,902.88x = 16,425.97 × 6,598.49
  4. Step 4: Simplify right side
    11,902.88x = 108,386,623.35
  5. Step 5: Solve for x
    x = 108,386,623.35/11,902.88
  6. Step 6: Final answer
    x = 9,105.92

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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.