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Finding the Fourth Proportional to 11,586.09, 15,991.07 and 7,557.91

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Solution

The fourth proportional to 11,586.09, 15,991.07 and 7,557.91 is: 10,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.09 : 15,991.07 = 7,557.91 : x
  2. Step 2: Convert to fraction form
    11,586.09/15,991.07 = 7,557.91/x
  3. Step 3: Cross multiply
    11,586.09x = 15,991.07 × 7,557.91
  4. Step 4: Simplify right side
    11,586.09x = 120,859,032.61
  5. Step 5: Solve for x
    x = 120,859,032.61/11,586.09
  6. Step 6: Final answer
    x = 10,431.39

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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.