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Finding the Fourth Proportional to 7,533.64, 10,396.40 and 4,221.64

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Solution

The fourth proportional to 7,533.64, 10,396.40 and 4,221.64 is: 5,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.64 : 10,396.40 = 4,221.64 : x
  2. Step 2: Convert to fraction form
    7,533.64/10,396.40 = 4,221.64/x
  3. Step 3: Cross multiply
    7,533.64x = 10,396.40 × 4,221.64
  4. Step 4: Simplify right side
    7,533.64x = 43,889,858.10
  5. Step 5: Solve for x
    x = 43,889,858.10/7,533.64
  6. Step 6: Final answer
    x = 5,825.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.