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Finding the Fourth Proportional to 11,837, 16,335.06 and 8,699.06

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Solution

The fourth proportional to 11,837, 16,335.06 and 8,699.06 is: 12,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837 : 16,335.06 = 8,699.06 : x
  2. Step 2: Convert to fraction form
    11,837/16,335.06 = 8,699.06/x
  3. Step 3: Cross multiply
    11,837x = 16,335.06 × 8,699.06
  4. Step 4: Simplify right side
    11,837x = 142,099,667.04
  5. Step 5: Solve for x
    x = 142,099,667.04/11,837
  6. Step 6: Final answer
    x = 12,004.70

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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.