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Finding the Fourth Proportional to 10,852.94, 16,284.65 and 9,450.02

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Solution

The fourth proportional to 10,852.94, 16,284.65 and 9,450.02 is: 14,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.94 : 16,284.65 = 9,450.02 : x
  2. Step 2: Convert to fraction form
    10,852.94/16,284.65 = 9,450.02/x
  3. Step 3: Cross multiply
    10,852.94x = 16,284.65 × 9,450.02
  4. Step 4: Simplify right side
    10,852.94x = 153,890,170.05
  5. Step 5: Solve for x
    x = 153,890,170.05/10,852.94
  6. Step 6: Final answer
    x = 14,179.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.