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Finding the Fourth Proportional to 11,470.64, 17,238.45 and 6,791.51

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Solution

The fourth proportional to 11,470.64, 17,238.45 and 6,791.51 is: 10,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.64 : 17,238.45 = 6,791.51 : x
  2. Step 2: Convert to fraction form
    11,470.64/17,238.45 = 6,791.51/x
  3. Step 3: Cross multiply
    11,470.64x = 17,238.45 × 6,791.51
  4. Step 4: Simplify right side
    11,470.64x = 117,075,019.37
  5. Step 5: Solve for x
    x = 117,075,019.37/11,470.64
  6. Step 6: Final answer
    x = 10,206.50

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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.