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Finding the Fourth Proportional to 11,226, 16,841.43 and 4,300.50

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Solution

The fourth proportional to 11,226, 16,841.43 and 4,300.50 is: 6,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,226 : 16,841.43 = 4,300.50 : x
  2. Step 2: Convert to fraction form
    11,226/16,841.43 = 4,300.50/x
  3. Step 3: Cross multiply
    11,226x = 16,841.43 × 4,300.50
  4. Step 4: Simplify right side
    11,226x = 72,426,569.72
  5. Step 5: Solve for x
    x = 72,426,569.72/11,226
  6. Step 6: Final answer
    x = 6,451.68

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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.