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Finding the Fourth Proportional to 7,102.44, 10,658.52 and 3,642.12

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Solution

The fourth proportional to 7,102.44, 10,658.52 and 3,642.12 is: 5,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.44 : 10,658.52 = 3,642.12 : x
  2. Step 2: Convert to fraction form
    7,102.44/10,658.52 = 3,642.12/x
  3. Step 3: Cross multiply
    7,102.44x = 10,658.52 × 3,642.12
  4. Step 4: Simplify right side
    7,102.44x = 38,819,608.86
  5. Step 5: Solve for x
    x = 38,819,608.86/7,102.44
  6. Step 6: Final answer
    x = 5,465.67

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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.