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Finding the Fourth Proportional to 7,725.29, 10,662.81 and 5,076.29

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Solution

The fourth proportional to 7,725.29, 10,662.81 and 5,076.29 is: 7,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.29 : 10,662.81 = 5,076.29 : x
  2. Step 2: Convert to fraction form
    7,725.29/10,662.81 = 5,076.29/x
  3. Step 3: Cross multiply
    7,725.29x = 10,662.81 × 5,076.29
  4. Step 4: Simplify right side
    7,725.29x = 54,127,515.77
  5. Step 5: Solve for x
    x = 54,127,515.77/7,725.29
  6. Step 6: Final answer
    x = 7,006.54

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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.