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Finding the Fourth Proportional to 10,599.71, 15,895.88 and 3,101.27

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Solution

The fourth proportional to 10,599.71, 15,895.88 and 3,101.27 is: 4,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.71 : 15,895.88 = 3,101.27 : x
  2. Step 2: Convert to fraction form
    10,599.71/15,895.88 = 3,101.27/x
  3. Step 3: Cross multiply
    10,599.71x = 15,895.88 × 3,101.27
  4. Step 4: Simplify right side
    10,599.71x = 49,297,400.26
  5. Step 5: Solve for x
    x = 49,297,400.26/10,599.71
  6. Step 6: Final answer
    x = 4,650.83

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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.