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Finding the Fourth Proportional to 10,838.52, 16,255.94 and 3,045.50

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Solution

The fourth proportional to 10,838.52, 16,255.94 and 3,045.50 is: 4,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.52 : 16,255.94 = 3,045.50 : x
  2. Step 2: Convert to fraction form
    10,838.52/16,255.94 = 3,045.50/x
  3. Step 3: Cross multiply
    10,838.52x = 16,255.94 × 3,045.50
  4. Step 4: Simplify right side
    10,838.52x = 49,507,465.27
  5. Step 5: Solve for x
    x = 49,507,465.27/10,838.52
  6. Step 6: Final answer
    x = 4,567.73

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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.