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Finding the Fourth Proportional to 11,952.16, 17,928.22 and 3,632.14

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Solution

The fourth proportional to 11,952.16, 17,928.22 and 3,632.14 is: 5,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.16 : 17,928.22 = 3,632.14 : x
  2. Step 2: Convert to fraction form
    11,952.16/17,928.22 = 3,632.14/x
  3. Step 3: Cross multiply
    11,952.16x = 17,928.22 × 3,632.14
  4. Step 4: Simplify right side
    11,952.16x = 65,117,804.99
  5. Step 5: Solve for x
    x = 65,117,804.99/11,952.16
  6. Step 6: Final answer
    x = 5,448.20

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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.