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Finding the Fourth Proportional to 11,586.02, 15,987.74 and 6,550.68

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Solution

The fourth proportional to 11,586.02, 15,987.74 and 6,550.68 is: 9,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.02 : 15,987.74 = 6,550.68 : x
  2. Step 2: Convert to fraction form
    11,586.02/15,987.74 = 6,550.68/x
  3. Step 3: Cross multiply
    11,586.02x = 15,987.74 × 6,550.68
  4. Step 4: Simplify right side
    11,586.02x = 104,730,568.66
  5. Step 5: Solve for x
    x = 104,730,568.66/11,586.02
  6. Step 6: Final answer
    x = 9,039.39

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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.