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Finding the Fourth Proportional to 7,471.07, 11,205.16 and 2,852.99

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Solution

The fourth proportional to 7,471.07, 11,205.16 and 2,852.99 is: 4,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.07 : 11,205.16 = 2,852.99 : x
  2. Step 2: Convert to fraction form
    7,471.07/11,205.16 = 2,852.99/x
  3. Step 3: Cross multiply
    7,471.07x = 11,205.16 × 2,852.99
  4. Step 4: Simplify right side
    7,471.07x = 31,968,209.43
  5. Step 5: Solve for x
    x = 31,968,209.43/7,471.07
  6. Step 6: Final answer
    x = 4,278.93

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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.