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Finding the Fourth Proportional to 8,199, 11,314.62 and 4,473

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Solution

The fourth proportional to 8,199, 11,314.62 and 4,473 is: 6,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199 : 11,314.62 = 4,473 : x
  2. Step 2: Convert to fraction form
    8,199/11,314.62 = 4,473/x
  3. Step 3: Cross multiply
    8,199x = 11,314.62 × 4,473
  4. Step 4: Simplify right side
    8,199x = 50,610,295.26
  5. Step 5: Solve for x
    x = 50,610,295.26/8,199
  6. Step 6: Final answer
    x = 6,172.74

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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.