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Finding the Fourth Proportional to 10,777.14, 16,152 and 4,847.69

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Solution

The fourth proportional to 10,777.14, 16,152 and 4,847.69 is: 7,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.14 : 16,152 = 4,847.69 : x
  2. Step 2: Convert to fraction form
    10,777.14/16,152 = 4,847.69/x
  3. Step 3: Cross multiply
    10,777.14x = 16,152 × 4,847.69
  4. Step 4: Simplify right side
    10,777.14x = 78,299,808.12
  5. Step 5: Solve for x
    x = 78,299,808.12/10,777.14
  6. Step 6: Final answer
    x = 7,265.36

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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.