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Finding the Fourth Proportional to 7,074.81, 10,603.58 and 3,782.97

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Solution

The fourth proportional to 7,074.81, 10,603.58 and 3,782.97 is: 5,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.81 : 10,603.58 = 3,782.97 : x
  2. Step 2: Convert to fraction form
    7,074.81/10,603.58 = 3,782.97/x
  3. Step 3: Cross multiply
    7,074.81x = 10,603.58 × 3,782.97
  4. Step 4: Simplify right side
    7,074.81x = 40,113,006.12
  5. Step 5: Solve for x
    x = 40,113,006.12/7,074.81
  6. Step 6: Final answer
    x = 5,669.84

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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.