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Finding the Fourth Proportional to 7,468.80, 11,203.16 and 2,274.72

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Solution

The fourth proportional to 7,468.80, 11,203.16 and 2,274.72 is: 3,412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.80 : 11,203.16 = 2,274.72 : x
  2. Step 2: Convert to fraction form
    7,468.80/11,203.16 = 2,274.72/x
  3. Step 3: Cross multiply
    7,468.80x = 11,203.16 × 2,274.72
  4. Step 4: Simplify right side
    7,468.80x = 25,484,052.12
  5. Step 5: Solve for x
    x = 25,484,052.12/7,468.80
  6. Step 6: Final answer
    x = 3,412.07

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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.