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Finding the Fourth Proportional to 7,656.39, 11,485.20 and 2,110.18

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Solution

The fourth proportional to 7,656.39, 11,485.20 and 2,110.18 is: 3,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.39 : 11,485.20 = 2,110.18 : x
  2. Step 2: Convert to fraction form
    7,656.39/11,485.20 = 2,110.18/x
  3. Step 3: Cross multiply
    7,656.39x = 11,485.20 × 2,110.18
  4. Step 4: Simplify right side
    7,656.39x = 24,235,839.34
  5. Step 5: Solve for x
    x = 24,235,839.34/7,656.39
  6. Step 6: Final answer
    x = 3,165.44

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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.