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Finding the Fourth Proportional to 10,713.89, 14,783.42 and 6,732.19

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Solution

The fourth proportional to 10,713.89, 14,783.42 and 6,732.19 is: 9,289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.89 : 14,783.42 = 6,732.19 : x
  2. Step 2: Convert to fraction form
    10,713.89/14,783.42 = 6,732.19/x
  3. Step 3: Cross multiply
    10,713.89x = 14,783.42 × 6,732.19
  4. Step 4: Simplify right side
    10,713.89x = 99,524,721.67
  5. Step 5: Solve for x
    x = 99,524,721.67/10,713.89
  6. Step 6: Final answer
    x = 9,289.31

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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.