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Finding the Fourth Proportional to 10,852.68, 14,990.76 and 8,025.84

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Solution

The fourth proportional to 10,852.68, 14,990.76 and 8,025.84 is: 11,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.68 : 14,990.76 = 8,025.84 : x
  2. Step 2: Convert to fraction form
    10,852.68/14,990.76 = 8,025.84/x
  3. Step 3: Cross multiply
    10,852.68x = 14,990.76 × 8,025.84
  4. Step 4: Simplify right side
    10,852.68x = 120,313,441.24
  5. Step 5: Solve for x
    x = 120,313,441.24/10,852.68
  6. Step 6: Final answer
    x = 11,086.06

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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.