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Finding the Fourth Proportional to 8,213.61, 11,334.15 and 4,856.16

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Solution

The fourth proportional to 8,213.61, 11,334.15 and 4,856.16 is: 6,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.61 : 11,334.15 = 4,856.16 : x
  2. Step 2: Convert to fraction form
    8,213.61/11,334.15 = 4,856.16/x
  3. Step 3: Cross multiply
    8,213.61x = 11,334.15 × 4,856.16
  4. Step 4: Simplify right side
    8,213.61x = 55,040,445.86
  5. Step 5: Solve for x
    x = 55,040,445.86/8,213.61
  6. Step 6: Final answer
    x = 6,701.13

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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.