Home / 7,742.24-10,684.52-4,205.68

Finding the Fourth Proportional to 7,742.24, 10,684.52 and 4,205.68

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Solution

The fourth proportional to 7,742.24, 10,684.52 and 4,205.68 is: 5,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.24 : 10,684.52 = 4,205.68 : x
  2. Step 2: Convert to fraction form
    7,742.24/10,684.52 = 4,205.68/x
  3. Step 3: Cross multiply
    7,742.24x = 10,684.52 × 4,205.68
  4. Step 4: Simplify right side
    7,742.24x = 44,935,672.07
  5. Step 5: Solve for x
    x = 44,935,672.07/7,742.24
  6. Step 6: Final answer
    x = 5,803.96

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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.