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Finding the Fourth Proportional to 10,191.51, 14,056.92 and 6,212.79

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Solution

The fourth proportional to 10,191.51, 14,056.92 and 6,212.79 is: 8,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.51 : 14,056.92 = 6,212.79 : x
  2. Step 2: Convert to fraction form
    10,191.51/14,056.92 = 6,212.79/x
  3. Step 3: Cross multiply
    10,191.51x = 14,056.92 × 6,212.79
  4. Step 4: Simplify right side
    10,191.51x = 87,332,692.01
  5. Step 5: Solve for x
    x = 87,332,692.01/10,191.51
  6. Step 6: Final answer
    x = 8,569.16

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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.