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Finding the Fourth Proportional to 7,468.64, 11,203.56 and 2,274.51

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Solution

The fourth proportional to 7,468.64, 11,203.56 and 2,274.51 is: 3,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.64 : 11,203.56 = 2,274.51 : x
  2. Step 2: Convert to fraction form
    7,468.64/11,203.56 = 2,274.51/x
  3. Step 3: Cross multiply
    7,468.64x = 11,203.56 × 2,274.51
  4. Step 4: Simplify right side
    7,468.64x = 25,482,609.26
  5. Step 5: Solve for x
    x = 25,482,609.26/7,468.64
  6. Step 6: Final answer
    x = 3,411.95

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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.