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Finding the Fourth Proportional to 8,216.10, 11,339.39 and 4,679.64

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Solution

The fourth proportional to 8,216.10, 11,339.39 and 4,679.64 is: 6,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.10 : 11,339.39 = 4,679.64 : x
  2. Step 2: Convert to fraction form
    8,216.10/11,339.39 = 4,679.64/x
  3. Step 3: Cross multiply
    8,216.10x = 11,339.39 × 4,679.64
  4. Step 4: Simplify right side
    8,216.10x = 53,064,274.72
  5. Step 5: Solve for x
    x = 53,064,274.72/8,216.10
  6. Step 6: Final answer
    x = 6,458.57

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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.