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Finding the Fourth Proportional to 11,565.43, 17,348.08 and 2,800.34

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Solution

The fourth proportional to 11,565.43, 17,348.08 and 2,800.34 is: 4,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.43 : 17,348.08 = 2,800.34 : x
  2. Step 2: Convert to fraction form
    11,565.43/17,348.08 = 2,800.34/x
  3. Step 3: Cross multiply
    11,565.43x = 17,348.08 × 2,800.34
  4. Step 4: Simplify right side
    11,565.43x = 48,580,498.91
  5. Step 5: Solve for x
    x = 48,580,498.91/11,565.43
  6. Step 6: Final answer
    x = 4,200.49

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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.