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Finding the Fourth Proportional to 7,894.26, 11,838.04 and 3,508.72

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Solution

The fourth proportional to 7,894.26, 11,838.04 and 3,508.72 is: 5,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.26 : 11,838.04 = 3,508.72 : x
  2. Step 2: Convert to fraction form
    7,894.26/11,838.04 = 3,508.72/x
  3. Step 3: Cross multiply
    7,894.26x = 11,838.04 × 3,508.72
  4. Step 4: Simplify right side
    7,894.26x = 41,536,367.71
  5. Step 5: Solve for x
    x = 41,536,367.71/7,894.26
  6. Step 6: Final answer
    x = 5,261.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.