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Finding the Fourth Proportional to 8,746.24, 12,072 and 5,912.32

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Solution

The fourth proportional to 8,746.24, 12,072 and 5,912.32 is: 8,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746.24 : 12,072 = 5,912.32 : x
  2. Step 2: Convert to fraction form
    8,746.24/12,072 = 5,912.32/x
  3. Step 3: Cross multiply
    8,746.24x = 12,072 × 5,912.32
  4. Step 4: Simplify right side
    8,746.24x = 71,373,527.04
  5. Step 5: Solve for x
    x = 71,373,527.04/8,746.24
  6. Step 6: Final answer
    x = 8,160.48

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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.