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Finding the Fourth Proportional to 7,588, 11,383.92 and 2,116

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Solution

The fourth proportional to 7,588, 11,383.92 and 2,116 is: 3,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588 : 11,383.92 = 2,116 : x
  2. Step 2: Convert to fraction form
    7,588/11,383.92 = 2,116/x
  3. Step 3: Cross multiply
    7,588x = 11,383.92 × 2,116
  4. Step 4: Simplify right side
    7,588x = 24,088,374.72
  5. Step 5: Solve for x
    x = 24,088,374.72/7,588
  6. Step 6: Final answer
    x = 3,174.54

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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.