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Finding the Fourth Proportional to 11,422.87, 15,762.83 and 6,387.50

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Solution

The fourth proportional to 11,422.87, 15,762.83 and 6,387.50 is: 8,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.87 : 15,762.83 = 6,387.50 : x
  2. Step 2: Convert to fraction form
    11,422.87/15,762.83 = 6,387.50/x
  3. Step 3: Cross multiply
    11,422.87x = 15,762.83 × 6,387.50
  4. Step 4: Simplify right side
    11,422.87x = 100,685,084.09
  5. Step 5: Solve for x
    x = 100,685,084.09/11,422.87
  6. Step 6: Final answer
    x = 8,814.34

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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.