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Finding the Fourth Proportional to 7,773.49, 11,656.80 and 2,225.57

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Solution

The fourth proportional to 7,773.49, 11,656.80 and 2,225.57 is: 3,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.49 : 11,656.80 = 2,225.57 : x
  2. Step 2: Convert to fraction form
    7,773.49/11,656.80 = 2,225.57/x
  3. Step 3: Cross multiply
    7,773.49x = 11,656.80 × 2,225.57
  4. Step 4: Simplify right side
    7,773.49x = 25,943,016.03
  5. Step 5: Solve for x
    x = 25,943,016.03/7,773.49
  6. Step 6: Final answer
    x = 3,337.37

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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.