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Finding the Fourth Proportional to 8,193.06, 11,307.74 and 4,657.41

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Solution

The fourth proportional to 8,193.06, 11,307.74 and 4,657.41 is: 6,427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.06 : 11,307.74 = 4,657.41 : x
  2. Step 2: Convert to fraction form
    8,193.06/11,307.74 = 4,657.41/x
  3. Step 3: Cross multiply
    8,193.06x = 11,307.74 × 4,657.41
  4. Step 4: Simplify right side
    8,193.06x = 52,664,758.07
  5. Step 5: Solve for x
    x = 52,664,758.07/8,193.06
  6. Step 6: Final answer
    x = 6,427.97

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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.