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Finding the Fourth Proportional to 7,436.64, 11,154.84 and 1,814.36

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Solution

The fourth proportional to 7,436.64, 11,154.84 and 1,814.36 is: 2,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,436.64 : 11,154.84 = 1,814.36 : x
  2. Step 2: Convert to fraction form
    7,436.64/11,154.84 = 1,814.36/x
  3. Step 3: Cross multiply
    7,436.64x = 11,154.84 × 1,814.36
  4. Step 4: Simplify right side
    7,436.64x = 20,238,895.50
  5. Step 5: Solve for x
    x = 20,238,895.50/7,436.64
  6. Step 6: Final answer
    x = 2,721.51

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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.