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Finding the Fourth Proportional to 8,296.96, 12,447.36 and 4,837.12

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Solution

The fourth proportional to 8,296.96, 12,447.36 and 4,837.12 is: 7,256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.96 : 12,447.36 = 4,837.12 : x
  2. Step 2: Convert to fraction form
    8,296.96/12,447.36 = 4,837.12/x
  3. Step 3: Cross multiply
    8,296.96x = 12,447.36 × 4,837.12
  4. Step 4: Simplify right side
    8,296.96x = 60,209,374.00
  5. Step 5: Solve for x
    x = 60,209,374.00/8,296.96
  6. Step 6: Final answer
    x = 7,256.80

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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.