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Finding the Fourth Proportional to 7,656.73, 11,485.14 and 2,110.37

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Solution

The fourth proportional to 7,656.73, 11,485.14 and 2,110.37 is: 3,165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.73 : 11,485.14 = 2,110.37 : x
  2. Step 2: Convert to fraction form
    7,656.73/11,485.14 = 2,110.37/x
  3. Step 3: Cross multiply
    7,656.73x = 11,485.14 × 2,110.37
  4. Step 4: Simplify right side
    7,656.73x = 24,237,894.90
  5. Step 5: Solve for x
    x = 24,237,894.90/7,656.73
  6. Step 6: Final answer
    x = 3,165.57

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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.