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Finding the Fourth Proportional to 7,878.33, 11,816.43 and 2,332.26

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Solution

The fourth proportional to 7,878.33, 11,816.43 and 2,332.26 is: 3,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.33 : 11,816.43 = 2,332.26 : x
  2. Step 2: Convert to fraction form
    7,878.33/11,816.43 = 2,332.26/x
  3. Step 3: Cross multiply
    7,878.33x = 11,816.43 × 2,332.26
  4. Step 4: Simplify right side
    7,878.33x = 27,558,987.03
  5. Step 5: Solve for x
    x = 27,558,987.03/7,878.33
  6. Step 6: Final answer
    x = 3,498.07

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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.