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Finding the Fourth Proportional to 10,615.90, 15,923.83 and 2,824.72

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Solution

The fourth proportional to 10,615.90, 15,923.83 and 2,824.72 is: 4,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.90 : 15,923.83 = 2,824.72 : x
  2. Step 2: Convert to fraction form
    10,615.90/15,923.83 = 2,824.72/x
  3. Step 3: Cross multiply
    10,615.90x = 15,923.83 × 2,824.72
  4. Step 4: Simplify right side
    10,615.90x = 44,980,361.08
  5. Step 5: Solve for x
    x = 44,980,361.08/10,615.90
  6. Step 6: Final answer
    x = 4,237.07

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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.