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Finding the Fourth Proportional to 8,180.66, 11,289.31 and 4,823.48

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Solution

The fourth proportional to 8,180.66, 11,289.31 and 4,823.48 is: 6,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.66 : 11,289.31 = 4,823.48 : x
  2. Step 2: Convert to fraction form
    8,180.66/11,289.31 = 4,823.48/x
  3. Step 3: Cross multiply
    8,180.66x = 11,289.31 × 4,823.48
  4. Step 4: Simplify right side
    8,180.66x = 54,453,777.16
  5. Step 5: Solve for x
    x = 54,453,777.16/8,180.66
  6. Step 6: Final answer
    x = 6,656.40

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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.