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Finding the Fourth Proportional to 10,207, 15,311.37 and 2,812.06

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Solution

The fourth proportional to 10,207, 15,311.37 and 2,812.06 is: 4,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207 : 15,311.37 = 2,812.06 : x
  2. Step 2: Convert to fraction form
    10,207/15,311.37 = 2,812.06/x
  3. Step 3: Cross multiply
    10,207x = 15,311.37 × 2,812.06
  4. Step 4: Simplify right side
    10,207x = 43,056,491.12
  5. Step 5: Solve for x
    x = 43,056,491.12/10,207
  6. Step 6: Final answer
    x = 4,218.33

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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.