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Finding the Fourth Proportional to 8,447.89, 11,657.74 and 4,670.81

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Solution

The fourth proportional to 8,447.89, 11,657.74 and 4,670.81 is: 6,445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.89 : 11,657.74 = 4,670.81 : x
  2. Step 2: Convert to fraction form
    8,447.89/11,657.74 = 4,670.81/x
  3. Step 3: Cross multiply
    8,447.89x = 11,657.74 × 4,670.81
  4. Step 4: Simplify right side
    8,447.89x = 54,451,088.57
  5. Step 5: Solve for x
    x = 54,451,088.57/8,447.89
  6. Step 6: Final answer
    x = 6,445.53

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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.