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Finding the Fourth Proportional to 11,005.89, 15,188.07 and 5,970.09

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Solution

The fourth proportional to 11,005.89, 15,188.07 and 5,970.09 is: 8,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.89 : 15,188.07 = 5,970.09 : x
  2. Step 2: Convert to fraction form
    11,005.89/15,188.07 = 5,970.09/x
  3. Step 3: Cross multiply
    11,005.89x = 15,188.07 × 5,970.09
  4. Step 4: Simplify right side
    11,005.89x = 90,674,144.83
  5. Step 5: Solve for x
    x = 90,674,144.83/11,005.89
  6. Step 6: Final answer
    x = 8,238.69

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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.