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Finding the Fourth Proportional to 7,706.20, 10,626.01 and 5,577.52

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Solution

The fourth proportional to 7,706.20, 10,626.01 and 5,577.52 is: 7,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.20 : 10,626.01 = 5,577.52 : x
  2. Step 2: Convert to fraction form
    7,706.20/10,626.01 = 5,577.52/x
  3. Step 3: Cross multiply
    7,706.20x = 10,626.01 × 5,577.52
  4. Step 4: Simplify right side
    7,706.20x = 59,266,783.30
  5. Step 5: Solve for x
    x = 59,266,783.30/7,706.20
  6. Step 6: Final answer
    x = 7,690.79

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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.