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Finding the Fourth Proportional to 8,181.48, 11,290.74 and 4,644.60

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Solution

The fourth proportional to 8,181.48, 11,290.74 and 4,644.60 is: 6,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.48 : 11,290.74 = 4,644.60 : x
  2. Step 2: Convert to fraction form
    8,181.48/11,290.74 = 4,644.60/x
  3. Step 3: Cross multiply
    8,181.48x = 11,290.74 × 4,644.60
  4. Step 4: Simplify right side
    8,181.48x = 52,440,971.00
  5. Step 5: Solve for x
    x = 52,440,971.00/8,181.48
  6. Step 6: Final answer
    x = 6,409.72

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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.