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Finding the Fourth Proportional to 11,864.34, 16,372.08 and 6,558.84

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Solution

The fourth proportional to 11,864.34, 16,372.08 and 6,558.84 is: 9,050.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.34 : 16,372.08 = 6,558.84 : x
  2. Step 2: Convert to fraction form
    11,864.34/16,372.08 = 6,558.84/x
  3. Step 3: Cross multiply
    11,864.34x = 16,372.08 × 6,558.84
  4. Step 4: Simplify right side
    11,864.34x = 107,381,836.85
  5. Step 5: Solve for x
    x = 107,381,836.85/11,864.34
  6. Step 6: Final answer
    x = 9,050.81

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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.