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Finding the Fourth Proportional to 8,784.50, 12,130.68 and 5,646.14

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Solution

The fourth proportional to 8,784.50, 12,130.68 and 5,646.14 is: 7,796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784.50 : 12,130.68 = 5,646.14 : x
  2. Step 2: Convert to fraction form
    8,784.50/12,130.68 = 5,646.14/x
  3. Step 3: Cross multiply
    8,784.50x = 12,130.68 × 5,646.14
  4. Step 4: Simplify right side
    8,784.50x = 68,491,517.58
  5. Step 5: Solve for x
    x = 68,491,517.58/8,784.50
  6. Step 6: Final answer
    x = 7,796.86

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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.