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Finding the Fourth Proportional to 10,516.82, 15,775.22 and 2,725.63

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Solution

The fourth proportional to 10,516.82, 15,775.22 and 2,725.63 is: 4,088.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.82 : 15,775.22 = 2,725.63 : x
  2. Step 2: Convert to fraction form
    10,516.82/15,775.22 = 2,725.63/x
  3. Step 3: Cross multiply
    10,516.82x = 15,775.22 × 2,725.63
  4. Step 4: Simplify right side
    10,516.82x = 42,997,334.01
  5. Step 5: Solve for x
    x = 42,997,334.01/10,516.82
  6. Step 6: Final answer
    x = 4,088.44

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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.