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Finding the Fourth Proportional to 7,878.34, 11,815.08 and 2,683

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Solution

The fourth proportional to 7,878.34, 11,815.08 and 2,683 is: 4,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.34 : 11,815.08 = 2,683 : x
  2. Step 2: Convert to fraction form
    7,878.34/11,815.08 = 2,683/x
  3. Step 3: Cross multiply
    7,878.34x = 11,815.08 × 2,683
  4. Step 4: Simplify right side
    7,878.34x = 31,699,859.64
  5. Step 5: Solve for x
    x = 31,699,859.64/7,878.34
  6. Step 6: Final answer
    x = 4,023.67

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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.