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Finding the Fourth Proportional to 8,097.30, 11,172.74 and 4,909.95

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Solution

The fourth proportional to 8,097.30, 11,172.74 and 4,909.95 is: 6,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.30 : 11,172.74 = 4,909.95 : x
  2. Step 2: Convert to fraction form
    8,097.30/11,172.74 = 4,909.95/x
  3. Step 3: Cross multiply
    8,097.30x = 11,172.74 × 4,909.95
  4. Step 4: Simplify right side
    8,097.30x = 54,857,570.21
  5. Step 5: Solve for x
    x = 54,857,570.21/8,097.30
  6. Step 6: Final answer
    x = 6,774.80

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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.