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Finding the Fourth Proportional to 7,846.95, 11,772.04 and 2,300.47

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Solution

The fourth proportional to 7,846.95, 11,772.04 and 2,300.47 is: 3,451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.95 : 11,772.04 = 2,300.47 : x
  2. Step 2: Convert to fraction form
    7,846.95/11,772.04 = 2,300.47/x
  3. Step 3: Cross multiply
    7,846.95x = 11,772.04 × 2,300.47
  4. Step 4: Simplify right side
    7,846.95x = 27,081,224.86
  5. Step 5: Solve for x
    x = 27,081,224.86/7,846.95
  6. Step 6: Final answer
    x = 3,451.18

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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.