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Finding the Fourth Proportional to 10,380.29, 14,316.95 and 6,399.95

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Solution

The fourth proportional to 10,380.29, 14,316.95 and 6,399.95 is: 8,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.29 : 14,316.95 = 6,399.95 : x
  2. Step 2: Convert to fraction form
    10,380.29/14,316.95 = 6,399.95/x
  3. Step 3: Cross multiply
    10,380.29x = 14,316.95 × 6,399.95
  4. Step 4: Simplify right side
    10,380.29x = 91,627,708.57
  5. Step 5: Solve for x
    x = 91,627,708.57/10,380.29
  6. Step 6: Final answer
    x = 8,827.09

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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.