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Finding the Fourth Proportional to 7,674.74, 11,512.35 and 2,128.13

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Solution

The fourth proportional to 7,674.74, 11,512.35 and 2,128.13 is: 3,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.74 : 11,512.35 = 2,128.13 : x
  2. Step 2: Convert to fraction form
    7,674.74/11,512.35 = 2,128.13/x
  3. Step 3: Cross multiply
    7,674.74x = 11,512.35 × 2,128.13
  4. Step 4: Simplify right side
    7,674.74x = 24,499,806.19
  5. Step 5: Solve for x
    x = 24,499,806.19/7,674.74
  6. Step 6: Final answer
    x = 3,192.27

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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.