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Finding the Fourth Proportional to 11,956.84, 16,500.40 and 6,652.16

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Solution

The fourth proportional to 11,956.84, 16,500.40 and 6,652.16 is: 9,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.84 : 16,500.40 = 6,652.16 : x
  2. Step 2: Convert to fraction form
    11,956.84/16,500.40 = 6,652.16/x
  3. Step 3: Cross multiply
    11,956.84x = 16,500.40 × 6,652.16
  4. Step 4: Simplify right side
    11,956.84x = 109,763,300.86
  5. Step 5: Solve for x
    x = 109,763,300.86/11,956.84
  6. Step 6: Final answer
    x = 9,179.96

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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.