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Finding the Fourth Proportional to 11,483.36, 15,846.68 and 6,447.48

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Solution

The fourth proportional to 11,483.36, 15,846.68 and 6,447.48 is: 8,897.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.36 : 15,846.68 = 6,447.48 : x
  2. Step 2: Convert to fraction form
    11,483.36/15,846.68 = 6,447.48/x
  3. Step 3: Cross multiply
    11,483.36x = 15,846.68 × 6,447.48
  4. Step 4: Simplify right side
    11,483.36x = 102,171,152.37
  5. Step 5: Solve for x
    x = 102,171,152.37/11,483.36
  6. Step 6: Final answer
    x = 8,897.32

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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.