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Finding the Fourth Proportional to 7,690.77, 11,520.63 and 7,292.25

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Solution

The fourth proportional to 7,690.77, 11,520.63 and 7,292.25 is: 10,923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.77 : 11,520.63 = 7,292.25 : x
  2. Step 2: Convert to fraction form
    7,690.77/11,520.63 = 7,292.25/x
  3. Step 3: Cross multiply
    7,690.77x = 11,520.63 × 7,292.25
  4. Step 4: Simplify right side
    7,690.77x = 84,011,314.12
  5. Step 5: Solve for x
    x = 84,011,314.12/7,690.77
  6. Step 6: Final answer
    x = 10,923.65

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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.