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Finding the Fourth Proportional to 10,011.43, 13,821.06 and 7,768.27

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Solution

The fourth proportional to 10,011.43, 13,821.06 and 7,768.27 is: 10,724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.43 : 13,821.06 = 7,768.27 : x
  2. Step 2: Convert to fraction form
    10,011.43/13,821.06 = 7,768.27/x
  3. Step 3: Cross multiply
    10,011.43x = 13,821.06 × 7,768.27
  4. Step 4: Simplify right side
    10,011.43x = 107,365,725.77
  5. Step 5: Solve for x
    x = 107,365,725.77/10,011.43
  6. Step 6: Final answer
    x = 10,724.31

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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.