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Finding the Fourth Proportional to 10,763.19, 16,148.93 and 4,194

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Solution

The fourth proportional to 10,763.19, 16,148.93 and 4,194 is: 6,292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.19 : 16,148.93 = 4,194 : x
  2. Step 2: Convert to fraction form
    10,763.19/16,148.93 = 4,194/x
  3. Step 3: Cross multiply
    10,763.19x = 16,148.93 × 4,194
  4. Step 4: Simplify right side
    10,763.19x = 67,728,591.45
  5. Step 5: Solve for x
    x = 67,728,591.45/10,763.19
  6. Step 6: Final answer
    x = 6,292.61

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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.