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Finding the Fourth Proportional to 10,950.45, 16,431.12 and 4,378.50

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Solution

The fourth proportional to 10,950.45, 16,431.12 and 4,378.50 is: 6,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.45 : 16,431.12 = 4,378.50 : x
  2. Step 2: Convert to fraction form
    10,950.45/16,431.12 = 4,378.50/x
  3. Step 3: Cross multiply
    10,950.45x = 16,431.12 × 4,378.50
  4. Step 4: Simplify right side
    10,950.45x = 71,943,658.92
  5. Step 5: Solve for x
    x = 71,943,658.92/10,950.45
  6. Step 6: Final answer
    x = 6,569.93

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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.