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Finding the Fourth Proportional to 8,193.88, 11,308.51 and 4,657.62

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Solution

The fourth proportional to 8,193.88, 11,308.51 and 4,657.62 is: 6,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.88 : 11,308.51 = 4,657.62 : x
  2. Step 2: Convert to fraction form
    8,193.88/11,308.51 = 4,657.62/x
  3. Step 3: Cross multiply
    8,193.88x = 11,308.51 × 4,657.62
  4. Step 4: Simplify right side
    8,193.88x = 52,670,730.70
  5. Step 5: Solve for x
    x = 52,670,730.70/8,193.88
  6. Step 6: Final answer
    x = 6,428.06

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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.