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Finding the Fourth Proportional to 10,391.43, 14,321.62 and 7,867.50

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Solution

The fourth proportional to 10,391.43, 14,321.62 and 7,867.50 is: 10,843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.43 : 14,321.62 = 7,867.50 : x
  2. Step 2: Convert to fraction form
    10,391.43/14,321.62 = 7,867.50/x
  3. Step 3: Cross multiply
    10,391.43x = 14,321.62 × 7,867.50
  4. Step 4: Simplify right side
    10,391.43x = 112,675,345.35
  5. Step 5: Solve for x
    x = 112,675,345.35/10,391.43
  6. Step 6: Final answer
    x = 10,843.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.