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Finding the Fourth Proportional to 10,595.71, 15,893.69 and 3,200.48

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Solution

The fourth proportional to 10,595.71, 15,893.69 and 3,200.48 is: 4,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.71 : 15,893.69 = 3,200.48 : x
  2. Step 2: Convert to fraction form
    10,595.71/15,893.69 = 3,200.48/x
  3. Step 3: Cross multiply
    10,595.71x = 15,893.69 × 3,200.48
  4. Step 4: Simplify right side
    10,595.71x = 50,867,401.10
  5. Step 5: Solve for x
    x = 50,867,401.10/10,595.71
  6. Step 6: Final answer
    x = 4,800.75

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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.