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Finding the Fourth Proportional to 7,101.52, 10,651.53 and 3,152.85

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Solution

The fourth proportional to 7,101.52, 10,651.53 and 3,152.85 is: 4,728.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.52 : 10,651.53 = 3,152.85 : x
  2. Step 2: Convert to fraction form
    7,101.52/10,651.53 = 3,152.85/x
  3. Step 3: Cross multiply
    7,101.52x = 10,651.53 × 3,152.85
  4. Step 4: Simplify right side
    7,101.52x = 33,582,651.60
  5. Step 5: Solve for x
    x = 33,582,651.60/7,101.52
  6. Step 6: Final answer
    x = 4,728.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.