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Finding the Fourth Proportional to 7,765.77, 10,690.48 and 7,017.37

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Solution

The fourth proportional to 7,765.77, 10,690.48 and 7,017.37 is: 9,660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.77 : 10,690.48 = 7,017.37 : x
  2. Step 2: Convert to fraction form
    7,765.77/10,690.48 = 7,017.37/x
  3. Step 3: Cross multiply
    7,765.77x = 10,690.48 × 7,017.37
  4. Step 4: Simplify right side
    7,765.77x = 75,019,035.68
  5. Step 5: Solve for x
    x = 75,019,035.68/7,765.77
  6. Step 6: Final answer
    x = 9,660.21

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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.