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Finding the Fourth Proportional to 7,804.55, 11,706.83 and 2,874.35

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Solution

The fourth proportional to 7,804.55, 11,706.83 and 2,874.35 is: 4,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.55 : 11,706.83 = 2,874.35 : x
  2. Step 2: Convert to fraction form
    7,804.55/11,706.83 = 2,874.35/x
  3. Step 3: Cross multiply
    7,804.55x = 11,706.83 × 2,874.35
  4. Step 4: Simplify right side
    7,804.55x = 33,649,526.81
  5. Step 5: Solve for x
    x = 33,649,526.81/7,804.55
  6. Step 6: Final answer
    x = 4,311.53

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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.