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Finding the Fourth Proportional to 10,815.57, 16,225.79 and 3,420.50

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Solution

The fourth proportional to 10,815.57, 16,225.79 and 3,420.50 is: 5,131.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.57 : 16,225.79 = 3,420.50 : x
  2. Step 2: Convert to fraction form
    10,815.57/16,225.79 = 3,420.50/x
  3. Step 3: Cross multiply
    10,815.57x = 16,225.79 × 3,420.50
  4. Step 4: Simplify right side
    10,815.57x = 55,500,216.46
  5. Step 5: Solve for x
    x = 55,500,216.46/10,815.57
  6. Step 6: Final answer
    x = 5,131.51

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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.