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Finding the Fourth Proportional to 11,496.32, 17,239.02 and 5,254.48

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Solution

The fourth proportional to 11,496.32, 17,239.02 and 5,254.48 is: 7,879.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.32 : 17,239.02 = 5,254.48 : x
  2. Step 2: Convert to fraction form
    11,496.32/17,239.02 = 5,254.48/x
  3. Step 3: Cross multiply
    11,496.32x = 17,239.02 × 5,254.48
  4. Step 4: Simplify right side
    11,496.32x = 90,582,085.81
  5. Step 5: Solve for x
    x = 90,582,085.81/11,496.32
  6. Step 6: Final answer
    x = 7,879.22

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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.