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Finding the Fourth Proportional to 8,192.81, 11,307.39 and 4,657.16

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Solution

The fourth proportional to 8,192.81, 11,307.39 and 4,657.16 is: 6,427.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.81 : 11,307.39 = 4,657.16 : x
  2. Step 2: Convert to fraction form
    8,192.81/11,307.39 = 4,657.16/x
  3. Step 3: Cross multiply
    8,192.81x = 11,307.39 × 4,657.16
  4. Step 4: Simplify right side
    8,192.81x = 52,660,324.41
  5. Step 5: Solve for x
    x = 52,660,324.41/8,192.81
  6. Step 6: Final answer
    x = 6,427.63

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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.