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Finding the Fourth Proportional to 7,216.30, 10,824.53 and 2,536.44

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Solution

The fourth proportional to 7,216.30, 10,824.53 and 2,536.44 is: 3,804.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.30 : 10,824.53 = 2,536.44 : x
  2. Step 2: Convert to fraction form
    7,216.30/10,824.53 = 2,536.44/x
  3. Step 3: Cross multiply
    7,216.30x = 10,824.53 × 2,536.44
  4. Step 4: Simplify right side
    7,216.30x = 27,455,758.19
  5. Step 5: Solve for x
    x = 27,455,758.19/7,216.30
  6. Step 6: Final answer
    x = 3,804.69

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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.