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Finding the Fourth Proportional to 11,837.07, 16,335 and 6,531.75

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Solution

The fourth proportional to 11,837.07, 16,335 and 6,531.75 is: 9,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.07 : 16,335 = 6,531.75 : x
  2. Step 2: Convert to fraction form
    11,837.07/16,335 = 6,531.75/x
  3. Step 3: Cross multiply
    11,837.07x = 16,335 × 6,531.75
  4. Step 4: Simplify right side
    11,837.07x = 106,696,136.25
  5. Step 5: Solve for x
    x = 106,696,136.25/11,837.07
  6. Step 6: Final answer
    x = 9,013.73

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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.