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Finding the Fourth Proportional to 8,503.61, 11,734.83 and 4,726.71

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Solution

The fourth proportional to 8,503.61, 11,734.83 and 4,726.71 is: 6,522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.61 : 11,734.83 = 4,726.71 : x
  2. Step 2: Convert to fraction form
    8,503.61/11,734.83 = 4,726.71/x
  3. Step 3: Cross multiply
    8,503.61x = 11,734.83 × 4,726.71
  4. Step 4: Simplify right side
    8,503.61x = 55,467,138.31
  5. Step 5: Solve for x
    x = 55,467,138.31/8,503.61
  6. Step 6: Final answer
    x = 6,522.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.