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Finding the Fourth Proportional to 7,873.71, 11,812.36 and 2,326.59

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Solution

The fourth proportional to 7,873.71, 11,812.36 and 2,326.59 is: 3,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.71 : 11,812.36 = 2,326.59 : x
  2. Step 2: Convert to fraction form
    7,873.71/11,812.36 = 2,326.59/x
  3. Step 3: Cross multiply
    7,873.71x = 11,812.36 × 2,326.59
  4. Step 4: Simplify right side
    7,873.71x = 27,482,550.29
  5. Step 5: Solve for x
    x = 27,482,550.29/7,873.71
  6. Step 6: Final answer
    x = 3,490.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.