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Finding the Fourth Proportional to 11,483.36, 15,846.52 and 6,447.49

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Solution

The fourth proportional to 11,483.36, 15,846.52 and 6,447.49 is: 8,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.36 : 15,846.52 = 6,447.49 : x
  2. Step 2: Convert to fraction form
    11,483.36/15,846.52 = 6,447.49/x
  3. Step 3: Cross multiply
    11,483.36x = 15,846.52 × 6,447.49
  4. Step 4: Simplify right side
    11,483.36x = 102,170,247.00
  5. Step 5: Solve for x
    x = 102,170,247.00/11,483.36
  6. Step 6: Final answer
    x = 8,897.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.