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Finding the Fourth Proportional to 11,155.86, 16,730.99 and 4,583.86

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Solution

The fourth proportional to 11,155.86, 16,730.99 and 4,583.86 is: 6,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,155.86 : 16,730.99 = 4,583.86 : x
  2. Step 2: Convert to fraction form
    11,155.86/16,730.99 = 4,583.86/x
  3. Step 3: Cross multiply
    11,155.86x = 16,730.99 × 4,583.86
  4. Step 4: Simplify right side
    11,155.86x = 76,692,515.82
  5. Step 5: Solve for x
    x = 76,692,515.82/11,155.86
  6. Step 6: Final answer
    x = 6,874.64

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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.