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Finding the Fourth Proportional to 8,827.44, 12,184.60 and 5,683.63

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Solution

The fourth proportional to 8,827.44, 12,184.60 and 5,683.63 is: 7,845.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,827.44 : 12,184.60 = 5,683.63 : x
  2. Step 2: Convert to fraction form
    8,827.44/12,184.60 = 5,683.63/x
  3. Step 3: Cross multiply
    8,827.44x = 12,184.60 × 5,683.63
  4. Step 4: Simplify right side
    8,827.44x = 69,252,758.10
  5. Step 5: Solve for x
    x = 69,252,758.10/8,827.44
  6. Step 6: Final answer
    x = 7,845.17

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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.