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Finding the Fourth Proportional to 10,380.33, 14,328.99 and 6,405.45

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Solution

The fourth proportional to 10,380.33, 14,328.99 and 6,405.45 is: 8,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.33 : 14,328.99 = 6,405.45 : x
  2. Step 2: Convert to fraction form
    10,380.33/14,328.99 = 6,405.45/x
  3. Step 3: Cross multiply
    10,380.33x = 14,328.99 × 6,405.45
  4. Step 4: Simplify right side
    10,380.33x = 91,783,629.00
  5. Step 5: Solve for x
    x = 91,783,629.00/10,380.33
  6. Step 6: Final answer
    x = 8,842.07

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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.