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Finding the Fourth Proportional to 8,356.10, 12,534.28 and 3,972.67

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Solution

The fourth proportional to 8,356.10, 12,534.28 and 3,972.67 is: 5,959.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.10 : 12,534.28 = 3,972.67 : x
  2. Step 2: Convert to fraction form
    8,356.10/12,534.28 = 3,972.67/x
  3. Step 3: Cross multiply
    8,356.10x = 12,534.28 × 3,972.67
  4. Step 4: Simplify right side
    8,356.10x = 49,794,516.86
  5. Step 5: Solve for x
    x = 49,794,516.86/8,356.10
  6. Step 6: Final answer
    x = 5,959.07

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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.