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Finding the Fourth Proportional to 10,709.22, 14,777.42 and 5,928.80

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Solution

The fourth proportional to 10,709.22, 14,777.42 and 5,928.80 is: 8,181.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.22 : 14,777.42 = 5,928.80 : x
  2. Step 2: Convert to fraction form
    10,709.22/14,777.42 = 5,928.80/x
  3. Step 3: Cross multiply
    10,709.22x = 14,777.42 × 5,928.80
  4. Step 4: Simplify right side
    10,709.22x = 87,612,264.16
  5. Step 5: Solve for x
    x = 87,612,264.16/10,709.22
  6. Step 6: Final answer
    x = 8,181.01

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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.