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Finding the Fourth Proportional to 8,014.96, 11,063.36 and 4,830

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Solution

The fourth proportional to 8,014.96, 11,063.36 and 4,830 is: 6,667.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.96 : 11,063.36 = 4,830 : x
  2. Step 2: Convert to fraction form
    8,014.96/11,063.36 = 4,830/x
  3. Step 3: Cross multiply
    8,014.96x = 11,063.36 × 4,830
  4. Step 4: Simplify right side
    8,014.96x = 53,436,028.80
  5. Step 5: Solve for x
    x = 53,436,028.80/8,014.96
  6. Step 6: Final answer
    x = 6,667.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.