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Finding the Fourth Proportional to 8,234.16, 11,364.03 and 5,403.81

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Solution

The fourth proportional to 8,234.16, 11,364.03 and 5,403.81 is: 7,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.16 : 11,364.03 = 5,403.81 : x
  2. Step 2: Convert to fraction form
    8,234.16/11,364.03 = 5,403.81/x
  3. Step 3: Cross multiply
    8,234.16x = 11,364.03 × 5,403.81
  4. Step 4: Simplify right side
    8,234.16x = 61,409,101.57
  5. Step 5: Solve for x
    x = 61,409,101.57/8,234.16
  6. Step 6: Final answer
    x = 7,457.85

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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.