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Finding the Fourth Proportional to 7,665.18, 11,494.94 and 2,733.50

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Solution

The fourth proportional to 7,665.18, 11,494.94 and 2,733.50 is: 4,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.18 : 11,494.94 = 2,733.50 : x
  2. Step 2: Convert to fraction form
    7,665.18/11,494.94 = 2,733.50/x
  3. Step 3: Cross multiply
    7,665.18x = 11,494.94 × 2,733.50
  4. Step 4: Simplify right side
    7,665.18x = 31,421,347.35
  5. Step 5: Solve for x
    x = 31,421,347.35/7,665.18
  6. Step 6: Final answer
    x = 4,099.23

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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.