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Finding the Fourth Proportional to 8,217.72, 11,339.64 and 4,680.72

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Solution

The fourth proportional to 8,217.72, 11,339.64 and 4,680.72 is: 6,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.72 : 11,339.64 = 4,680.72 : x
  2. Step 2: Convert to fraction form
    8,217.72/11,339.64 = 4,680.72/x
  3. Step 3: Cross multiply
    8,217.72x = 11,339.64 × 4,680.72
  4. Step 4: Simplify right side
    8,217.72x = 53,077,679.74
  5. Step 5: Solve for x
    x = 53,077,679.74/8,217.72
  6. Step 6: Final answer
    x = 6,458.93

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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.