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Finding the Fourth Proportional to 7,684.62, 11,518.43 and 3,003.77

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Solution

The fourth proportional to 7,684.62, 11,518.43 and 3,003.77 is: 4,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.62 : 11,518.43 = 3,003.77 : x
  2. Step 2: Convert to fraction form
    7,684.62/11,518.43 = 3,003.77/x
  3. Step 3: Cross multiply
    7,684.62x = 11,518.43 × 3,003.77
  4. Step 4: Simplify right side
    7,684.62x = 34,598,641.87
  5. Step 5: Solve for x
    x = 34,598,641.87/7,684.62
  6. Step 6: Final answer
    x = 4,502.32

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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.