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Finding the Fourth Proportional to 12,986.92, 19,478.46 and 4,777

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Solution

The fourth proportional to 12,986.92, 19,478.46 and 4,777 is: 7,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.92 : 19,478.46 = 4,777 : x
  2. Step 2: Convert to fraction form
    12,986.92/19,478.46 = 4,777/x
  3. Step 3: Cross multiply
    12,986.92x = 19,478.46 × 4,777
  4. Step 4: Simplify right side
    12,986.92x = 93,048,603.42
  5. Step 5: Solve for x
    x = 93,048,603.42/12,986.92
  6. Step 6: Final answer
    x = 7,164.79

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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.