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Finding the Fourth Proportional to 10,592.71, 15,890.39 and 3,197.16

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Solution

The fourth proportional to 10,592.71, 15,890.39 and 3,197.16 is: 4,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.71 : 15,890.39 = 3,197.16 : x
  2. Step 2: Convert to fraction form
    10,592.71/15,890.39 = 3,197.16/x
  3. Step 3: Cross multiply
    10,592.71x = 15,890.39 × 3,197.16
  4. Step 4: Simplify right side
    10,592.71x = 50,804,119.29
  5. Step 5: Solve for x
    x = 50,804,119.29/10,592.71
  6. Step 6: Final answer
    x = 4,796.14

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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.