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Finding the Fourth Proportional to 10,423.82, 14,380.83 and 6,386.96

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Solution

The fourth proportional to 10,423.82, 14,380.83 and 6,386.96 is: 8,811.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.82 : 14,380.83 = 6,386.96 : x
  2. Step 2: Convert to fraction form
    10,423.82/14,380.83 = 6,386.96/x
  3. Step 3: Cross multiply
    10,423.82x = 14,380.83 × 6,386.96
  4. Step 4: Simplify right side
    10,423.82x = 91,849,785.98
  5. Step 5: Solve for x
    x = 91,849,785.98/10,423.82
  6. Step 6: Final answer
    x = 8,811.53

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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.