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Finding the Fourth Proportional to 7,181.28, 10,756.08 and 5,229

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Solution

The fourth proportional to 7,181.28, 10,756.08 and 5,229 is: 7,831.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.28 : 10,756.08 = 5,229 : x
  2. Step 2: Convert to fraction form
    7,181.28/10,756.08 = 5,229/x
  3. Step 3: Cross multiply
    7,181.28x = 10,756.08 × 5,229
  4. Step 4: Simplify right side
    7,181.28x = 56,243,542.32
  5. Step 5: Solve for x
    x = 56,243,542.32/7,181.28
  6. Step 6: Final answer
    x = 7,831.97

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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.