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Finding the Fourth Proportional to 7,465.64, 11,190.84 and 2,533.88

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Solution

The fourth proportional to 7,465.64, 11,190.84 and 2,533.88 is: 3,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.64 : 11,190.84 = 2,533.88 : x
  2. Step 2: Convert to fraction form
    7,465.64/11,190.84 = 2,533.88/x
  3. Step 3: Cross multiply
    7,465.64x = 11,190.84 × 2,533.88
  4. Step 4: Simplify right side
    7,465.64x = 28,356,245.66
  5. Step 5: Solve for x
    x = 28,356,245.66/7,465.64
  6. Step 6: Final answer
    x = 3,798.23

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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.