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Finding the Fourth Proportional to 10,703.16, 14,769.20 and 6,227.81

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Solution

The fourth proportional to 10,703.16, 14,769.20 and 6,227.81 is: 8,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.16 : 14,769.20 = 6,227.81 : x
  2. Step 2: Convert to fraction form
    10,703.16/14,769.20 = 6,227.81/x
  3. Step 3: Cross multiply
    10,703.16x = 14,769.20 × 6,227.81
  4. Step 4: Simplify right side
    10,703.16x = 91,979,771.45
  5. Step 5: Solve for x
    x = 91,979,771.45/10,703.16
  6. Step 6: Final answer
    x = 8,593.70

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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.