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Finding the Fourth Proportional to 8,184.54, 11,284.75 and 6,368.09

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Solution

The fourth proportional to 8,184.54, 11,284.75 and 6,368.09 is: 8,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.54 : 11,284.75 = 6,368.09 : x
  2. Step 2: Convert to fraction form
    8,184.54/11,284.75 = 6,368.09/x
  3. Step 3: Cross multiply
    8,184.54x = 11,284.75 × 6,368.09
  4. Step 4: Simplify right side
    8,184.54x = 71,862,303.63
  5. Step 5: Solve for x
    x = 71,862,303.63/8,184.54
  6. Step 6: Final answer
    x = 8,780.25

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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.