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Finding the Fourth Proportional to 19,262.08, 28,894.20 and 5,410

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Solution

The fourth proportional to 19,262.08, 28,894.20 and 5,410 is: 8,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,262.08 : 28,894.20 = 5,410 : x
  2. Step 2: Convert to fraction form
    19,262.08/28,894.20 = 5,410/x
  3. Step 3: Cross multiply
    19,262.08x = 28,894.20 × 5,410
  4. Step 4: Simplify right side
    19,262.08x = 156,317,622
  5. Step 5: Solve for x
    x = 156,317,622/19,262.08
  6. Step 6: Final answer
    x = 8,115.30

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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.