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Finding the Fourth Proportional to 10,155.70, 14,020.92 and 6,382.06

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Solution

The fourth proportional to 10,155.70, 14,020.92 and 6,382.06 is: 8,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.70 : 14,020.92 = 6,382.06 : x
  2. Step 2: Convert to fraction form
    10,155.70/14,020.92 = 6,382.06/x
  3. Step 3: Cross multiply
    10,155.70x = 14,020.92 × 6,382.06
  4. Step 4: Simplify right side
    10,155.70x = 89,482,352.70
  5. Step 5: Solve for x
    x = 89,482,352.70/10,155.70
  6. Step 6: Final answer
    x = 8,811.05

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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.