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Finding the Fourth Proportional to 11,595.66, 17,393.48 and 2,830.57

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Solution

The fourth proportional to 11,595.66, 17,393.48 and 2,830.57 is: 4,245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.66 : 17,393.48 = 2,830.57 : x
  2. Step 2: Convert to fraction form
    11,595.66/17,393.48 = 2,830.57/x
  3. Step 3: Cross multiply
    11,595.66x = 17,393.48 × 2,830.57
  4. Step 4: Simplify right side
    11,595.66x = 49,233,480.50
  5. Step 5: Solve for x
    x = 49,233,480.50/11,595.66
  6. Step 6: Final answer
    x = 4,245.86

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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.