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Finding the Fourth Proportional to 10,828.98, 16,244.28 and 3,037.50

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Solution

The fourth proportional to 10,828.98, 16,244.28 and 3,037.50 is: 4,556.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.98 : 16,244.28 = 3,037.50 : x
  2. Step 2: Convert to fraction form
    10,828.98/16,244.28 = 3,037.50/x
  3. Step 3: Cross multiply
    10,828.98x = 16,244.28 × 3,037.50
  4. Step 4: Simplify right side
    10,828.98x = 49,342,000.50
  5. Step 5: Solve for x
    x = 49,342,000.50/10,828.98
  6. Step 6: Final answer
    x = 4,556.48

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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.