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Finding the Fourth Proportional to 7,713.92, 11,573.04 and 3,100.16

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Solution

The fourth proportional to 7,713.92, 11,573.04 and 3,100.16 is: 4,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.92 : 11,573.04 = 3,100.16 : x
  2. Step 2: Convert to fraction form
    7,713.92/11,573.04 = 3,100.16/x
  3. Step 3: Cross multiply
    7,713.92x = 11,573.04 × 3,100.16
  4. Step 4: Simplify right side
    7,713.92x = 35,878,275.69
  5. Step 5: Solve for x
    x = 35,878,275.69/7,713.92
  6. Step 6: Final answer
    x = 4,651.11

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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.