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Finding the Fourth Proportional to 7,533.16, 11,300.16 and 2,533.52

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Solution

The fourth proportional to 7,533.16, 11,300.16 and 2,533.52 is: 3,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.16 : 11,300.16 = 2,533.52 : x
  2. Step 2: Convert to fraction form
    7,533.16/11,300.16 = 2,533.52/x
  3. Step 3: Cross multiply
    7,533.16x = 11,300.16 × 2,533.52
  4. Step 4: Simplify right side
    7,533.16x = 28,629,181.36
  5. Step 5: Solve for x
    x = 28,629,181.36/7,533.16
  6. Step 6: Final answer
    x = 3,800.42

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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.