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Finding the Fourth Proportional to 11,837.78, 16,335.81 and 6,460.34

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Solution

The fourth proportional to 11,837.78, 16,335.81 and 6,460.34 is: 8,915.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.78 : 16,335.81 = 6,460.34 : x
  2. Step 2: Convert to fraction form
    11,837.78/16,335.81 = 6,460.34/x
  3. Step 3: Cross multiply
    11,837.78x = 16,335.81 × 6,460.34
  4. Step 4: Simplify right side
    11,837.78x = 105,534,886.78
  5. Step 5: Solve for x
    x = 105,534,886.78/11,837.78
  6. Step 6: Final answer
    x = 8,915.09

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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.