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Finding the Fourth Proportional to 8,096.74, 11,178.33 and 5,856.28

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Solution

The fourth proportional to 8,096.74, 11,178.33 and 5,856.28 is: 8,085.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.74 : 11,178.33 = 5,856.28 : x
  2. Step 2: Convert to fraction form
    8,096.74/11,178.33 = 5,856.28/x
  3. Step 3: Cross multiply
    8,096.74x = 11,178.33 × 5,856.28
  4. Step 4: Simplify right side
    8,096.74x = 65,463,430.41
  5. Step 5: Solve for x
    x = 65,463,430.41/8,096.74
  6. Step 6: Final answer
    x = 8,085.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.