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Finding the Fourth Proportional to 7,382.58, 11,080.14 and 3,683.70

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Solution

The fourth proportional to 7,382.58, 11,080.14 and 3,683.70 is: 5,528.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.58 : 11,080.14 = 3,683.70 : x
  2. Step 2: Convert to fraction form
    7,382.58/11,080.14 = 3,683.70/x
  3. Step 3: Cross multiply
    7,382.58x = 11,080.14 × 3,683.70
  4. Step 4: Simplify right side
    7,382.58x = 40,815,911.72
  5. Step 5: Solve for x
    x = 40,815,911.72/7,382.58
  6. Step 6: Final answer
    x = 5,528.68

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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.