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Finding the Fourth Proportional to 10,207.76, 15,311.64 and 3,283.28

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Solution

The fourth proportional to 10,207.76, 15,311.64 and 3,283.28 is: 4,924.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.76 : 15,311.64 = 3,283.28 : x
  2. Step 2: Convert to fraction form
    10,207.76/15,311.64 = 3,283.28/x
  3. Step 3: Cross multiply
    10,207.76x = 15,311.64 × 3,283.28
  4. Step 4: Simplify right side
    10,207.76x = 50,272,401.38
  5. Step 5: Solve for x
    x = 50,272,401.38/10,207.76
  6. Step 6: Final answer
    x = 4,924.92

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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.