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Finding the Fourth Proportional to 7,944.16, 11,906.16 and 4,483.36

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Solution

The fourth proportional to 7,944.16, 11,906.16 and 4,483.36 is: 6,719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.16 : 11,906.16 = 4,483.36 : x
  2. Step 2: Convert to fraction form
    7,944.16/11,906.16 = 4,483.36/x
  3. Step 3: Cross multiply
    7,944.16x = 11,906.16 × 4,483.36
  4. Step 4: Simplify right side
    7,944.16x = 53,379,601.50
  5. Step 5: Solve for x
    x = 53,379,601.50/7,944.16
  6. Step 6: Final answer
    x = 6,719.35

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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.