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Finding the Fourth Proportional to 8,157.06, 11,256.76 and 4,431.06

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Solution

The fourth proportional to 8,157.06, 11,256.76 and 4,431.06 is: 6,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.06 : 11,256.76 = 4,431.06 : x
  2. Step 2: Convert to fraction form
    8,157.06/11,256.76 = 4,431.06/x
  3. Step 3: Cross multiply
    8,157.06x = 11,256.76 × 4,431.06
  4. Step 4: Simplify right side
    8,157.06x = 49,879,378.97
  5. Step 5: Solve for x
    x = 49,879,378.97/8,157.06
  6. Step 6: Final answer
    x = 6,114.87

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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.