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Finding the Fourth Proportional to 7,544.96, 11,315.68 and 2,865.52

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Solution

The fourth proportional to 7,544.96, 11,315.68 and 2,865.52 is: 4,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.96 : 11,315.68 = 2,865.52 : x
  2. Step 2: Convert to fraction form
    7,544.96/11,315.68 = 2,865.52/x
  3. Step 3: Cross multiply
    7,544.96x = 11,315.68 × 2,865.52
  4. Step 4: Simplify right side
    7,544.96x = 32,425,271.90
  5. Step 5: Solve for x
    x = 32,425,271.90/7,544.96
  6. Step 6: Final answer
    x = 4,297.61

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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.