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Finding the Fourth Proportional to 11,961.37, 16,506.47 and 6,656.14

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Solution

The fourth proportional to 11,961.37, 16,506.47 and 6,656.14 is: 9,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.37 : 16,506.47 = 6,656.14 : x
  2. Step 2: Convert to fraction form
    11,961.37/16,506.47 = 6,656.14/x
  3. Step 3: Cross multiply
    11,961.37x = 16,506.47 × 6,656.14
  4. Step 4: Simplify right side
    11,961.37x = 109,869,259.41
  5. Step 5: Solve for x
    x = 109,869,259.41/11,961.37
  6. Step 6: Final answer
    x = 9,185.34

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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.