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Finding the Fourth Proportional to 10,823.50, 16,235.26 and 2,615.50

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Solution

The fourth proportional to 10,823.50, 16,235.26 and 2,615.50 is: 3,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.50 : 16,235.26 = 2,615.50 : x
  2. Step 2: Convert to fraction form
    10,823.50/16,235.26 = 2,615.50/x
  3. Step 3: Cross multiply
    10,823.50x = 16,235.26 × 2,615.50
  4. Step 4: Simplify right side
    10,823.50x = 42,463,322.53
  5. Step 5: Solve for x
    x = 42,463,322.53/10,823.50
  6. Step 6: Final answer
    x = 3,923.25

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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.