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Finding the Fourth Proportional to 7,138.26, 10,706.31 and 4,364.01

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Solution

The fourth proportional to 7,138.26, 10,706.31 and 4,364.01 is: 6,545.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.26 : 10,706.31 = 4,364.01 : x
  2. Step 2: Convert to fraction form
    7,138.26/10,706.31 = 4,364.01/x
  3. Step 3: Cross multiply
    7,138.26x = 10,706.31 × 4,364.01
  4. Step 4: Simplify right side
    7,138.26x = 46,722,443.90
  5. Step 5: Solve for x
    x = 46,722,443.90/7,138.26
  6. Step 6: Final answer
    x = 6,545.35

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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.