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Finding the Fourth Proportional to 8,296.35, 11,451.32 and 5,465.79

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Solution

The fourth proportional to 8,296.35, 11,451.32 and 5,465.79 is: 7,544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.35 : 11,451.32 = 5,465.79 : x
  2. Step 2: Convert to fraction form
    8,296.35/11,451.32 = 5,465.79/x
  3. Step 3: Cross multiply
    8,296.35x = 11,451.32 × 5,465.79
  4. Step 4: Simplify right side
    8,296.35x = 62,590,483.01
  5. Step 5: Solve for x
    x = 62,590,483.01/8,296.35
  6. Step 6: Final answer
    x = 7,544.34

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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.