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Finding the Fourth Proportional to 7,656.98, 11,485.52 and 2,110.62

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Solution

The fourth proportional to 7,656.98, 11,485.52 and 2,110.62 is: 3,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.98 : 11,485.52 = 2,110.62 : x
  2. Step 2: Convert to fraction form
    7,656.98/11,485.52 = 2,110.62/x
  3. Step 3: Cross multiply
    7,656.98x = 11,485.52 × 2,110.62
  4. Step 4: Simplify right side
    7,656.98x = 24,241,557.67
  5. Step 5: Solve for x
    x = 24,241,557.67/7,656.98
  6. Step 6: Final answer
    x = 3,165.94

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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.