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Finding the Fourth Proportional to 8,025.74, 12,031.32 and 3,640.81

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Solution

The fourth proportional to 8,025.74, 12,031.32 and 3,640.81 is: 5,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,025.74 : 12,031.32 = 3,640.81 : x
  2. Step 2: Convert to fraction form
    8,025.74/12,031.32 = 3,640.81/x
  3. Step 3: Cross multiply
    8,025.74x = 12,031.32 × 3,640.81
  4. Step 4: Simplify right side
    8,025.74x = 43,803,750.17
  5. Step 5: Solve for x
    x = 43,803,750.17/8,025.74
  6. Step 6: Final answer
    x = 5,457.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.