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Finding the Fourth Proportional to 7,763.46, 10,706.33 and 5,073.54

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Solution

The fourth proportional to 7,763.46, 10,706.33 and 5,073.54 is: 6,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.46 : 10,706.33 = 5,073.54 : x
  2. Step 2: Convert to fraction form
    7,763.46/10,706.33 = 5,073.54/x
  3. Step 3: Cross multiply
    7,763.46x = 10,706.33 × 5,073.54
  4. Step 4: Simplify right side
    7,763.46x = 54,318,993.51
  5. Step 5: Solve for x
    x = 54,318,993.51/7,763.46
  6. Step 6: Final answer
    x = 6,996.75

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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.