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Finding the Fourth Proportional to 8,466.02, 11,687.16 and 5,638.10

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Solution

The fourth proportional to 8,466.02, 11,687.16 and 5,638.10 is: 7,783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.02 : 11,687.16 = 5,638.10 : x
  2. Step 2: Convert to fraction form
    8,466.02/11,687.16 = 5,638.10/x
  3. Step 3: Cross multiply
    8,466.02x = 11,687.16 × 5,638.10
  4. Step 4: Simplify right side
    8,466.02x = 65,893,318.36
  5. Step 5: Solve for x
    x = 65,893,318.36/8,466.02
  6. Step 6: Final answer
    x = 7,783.27

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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.