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Finding the Fourth Proportional to 10,709.49, 14,783.73 and 8,057.55

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Solution

The fourth proportional to 10,709.49, 14,783.73 and 8,057.55 is: 11,122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.49 : 14,783.73 = 8,057.55 : x
  2. Step 2: Convert to fraction form
    10,709.49/14,783.73 = 8,057.55/x
  3. Step 3: Cross multiply
    10,709.49x = 14,783.73 × 8,057.55
  4. Step 4: Simplify right side
    10,709.49x = 119,120,643.66
  5. Step 5: Solve for x
    x = 119,120,643.66/10,709.49
  6. Step 6: Final answer
    x = 11,122.91

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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.