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Finding the Fourth Proportional to 7,857.36, 11,782.08 and 3,476.16

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Solution

The fourth proportional to 7,857.36, 11,782.08 and 3,476.16 is: 5,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.36 : 11,782.08 = 3,476.16 : x
  2. Step 2: Convert to fraction form
    7,857.36/11,782.08 = 3,476.16/x
  3. Step 3: Cross multiply
    7,857.36x = 11,782.08 × 3,476.16
  4. Step 4: Simplify right side
    7,857.36x = 40,956,395.21
  5. Step 5: Solve for x
    x = 40,956,395.21/7,857.36
  6. Step 6: Final answer
    x = 5,212.49

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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.