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Finding the Fourth Proportional to 7,742.58, 10,684.74 and 4,205.71

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Solution

The fourth proportional to 7,742.58, 10,684.74 and 4,205.71 is: 5,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.58 : 10,684.74 = 4,205.71 : x
  2. Step 2: Convert to fraction form
    7,742.58/10,684.74 = 4,205.71/x
  3. Step 3: Cross multiply
    7,742.58x = 10,684.74 × 4,205.71
  4. Step 4: Simplify right side
    7,742.58x = 44,936,917.87
  5. Step 5: Solve for x
    x = 44,936,917.87/7,742.58
  6. Step 6: Final answer
    x = 5,803.87

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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.