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Finding the Fourth Proportional to 10,564.63, 15,842.27 and 3,167.71

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Solution

The fourth proportional to 10,564.63, 15,842.27 and 3,167.71 is: 4,750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.63 : 15,842.27 = 3,167.71 : x
  2. Step 2: Convert to fraction form
    10,564.63/15,842.27 = 3,167.71/x
  3. Step 3: Cross multiply
    10,564.63x = 15,842.27 × 3,167.71
  4. Step 4: Simplify right side
    10,564.63x = 50,183,685.42
  5. Step 5: Solve for x
    x = 50,183,685.42/10,564.63
  6. Step 6: Final answer
    x = 4,750.16

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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.