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Finding the Fourth Proportional to 10,852.94, 14,974.32 and 6,375.81

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Solution

The fourth proportional to 10,852.94, 14,974.32 and 6,375.81 is: 8,797.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.94 : 14,974.32 = 6,375.81 : x
  2. Step 2: Convert to fraction form
    10,852.94/14,974.32 = 6,375.81/x
  3. Step 3: Cross multiply
    10,852.94x = 14,974.32 × 6,375.81
  4. Step 4: Simplify right side
    10,852.94x = 95,473,463.40
  5. Step 5: Solve for x
    x = 95,473,463.40/10,852.94
  6. Step 6: Final answer
    x = 8,797.02

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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.