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Finding the Fourth Proportional to 7,152.96, 10,733.28 and 3,048

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Solution

The fourth proportional to 7,152.96, 10,733.28 and 3,048 is: 4,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.96 : 10,733.28 = 3,048 : x
  2. Step 2: Convert to fraction form
    7,152.96/10,733.28 = 3,048/x
  3. Step 3: Cross multiply
    7,152.96x = 10,733.28 × 3,048
  4. Step 4: Simplify right side
    7,152.96x = 32,715,037.44
  5. Step 5: Solve for x
    x = 32,715,037.44/7,152.96
  6. Step 6: Final answer
    x = 4,573.64

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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.