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Finding the Fourth Proportional to 10,725.32, 16,083.93 and 5,176.82

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Solution

The fourth proportional to 10,725.32, 16,083.93 and 5,176.82 is: 7,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.32 : 16,083.93 = 5,176.82 : x
  2. Step 2: Convert to fraction form
    10,725.32/16,083.93 = 5,176.82/x
  3. Step 3: Cross multiply
    10,725.32x = 16,083.93 × 5,176.82
  4. Step 4: Simplify right side
    10,725.32x = 83,263,610.50
  5. Step 5: Solve for x
    x = 83,263,610.50/10,725.32
  6. Step 6: Final answer
    x = 7,763.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.