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Finding the Fourth Proportional to 7,742.00, 10,684.02 and 4,205.22

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Solution

The fourth proportional to 7,742.00, 10,684.02 and 4,205.22 is: 5,803.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.00 : 10,684.02 = 4,205.22 : x
  2. Step 2: Convert to fraction form
    7,742.00/10,684.02 = 4,205.22/x
  3. Step 3: Cross multiply
    7,742.00x = 10,684.02 × 4,205.22
  4. Step 4: Simplify right side
    7,742.00x = 44,928,633.56
  5. Step 5: Solve for x
    x = 44,928,633.56/7,742.00
  6. Step 6: Final answer
    x = 5,803.24

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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.