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Finding the Fourth Proportional to 10,950.54, 16,425.27 and 4,024.50

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Solution

The fourth proportional to 10,950.54, 16,425.27 and 4,024.50 is: 6,036.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.54 : 16,425.27 = 4,024.50 : x
  2. Step 2: Convert to fraction form
    10,950.54/16,425.27 = 4,024.50/x
  3. Step 3: Cross multiply
    10,950.54x = 16,425.27 × 4,024.50
  4. Step 4: Simplify right side
    10,950.54x = 66,103,499.12
  5. Step 5: Solve for x
    x = 66,103,499.12/10,950.54
  6. Step 6: Final answer
    x = 6,036.55

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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.