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Finding the Fourth Proportional to 10,703.82, 14,767.67 and 6,223.89

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Solution

The fourth proportional to 10,703.82, 14,767.67 and 6,223.89 is: 8,586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.82 : 14,767.67 = 6,223.89 : x
  2. Step 2: Convert to fraction form
    10,703.82/14,767.67 = 6,223.89/x
  3. Step 3: Cross multiply
    10,703.82x = 14,767.67 × 6,223.89
  4. Step 4: Simplify right side
    10,703.82x = 91,912,306.50
  5. Step 5: Solve for x
    x = 91,912,306.50/10,703.82
  6. Step 6: Final answer
    x = 8,586.87

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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.