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Finding the Fourth Proportional to 10,214.12, 15,317.94 and 3,287

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Solution

The fourth proportional to 10,214.12, 15,317.94 and 3,287 is: 4,929.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.12 : 15,317.94 = 3,287 : x
  2. Step 2: Convert to fraction form
    10,214.12/15,317.94 = 3,287/x
  3. Step 3: Cross multiply
    10,214.12x = 15,317.94 × 3,287
  4. Step 4: Simplify right side
    10,214.12x = 50,350,068.78
  5. Step 5: Solve for x
    x = 50,350,068.78/10,214.12
  6. Step 6: Final answer
    x = 4,929.46

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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.