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Finding the Fourth Proportional to 11,223.51, 16,837.16 and 3,430.50

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Solution

The fourth proportional to 11,223.51, 16,837.16 and 3,430.50 is: 5,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.51 : 16,837.16 = 3,430.50 : x
  2. Step 2: Convert to fraction form
    11,223.51/16,837.16 = 3,430.50/x
  3. Step 3: Cross multiply
    11,223.51x = 16,837.16 × 3,430.50
  4. Step 4: Simplify right side
    11,223.51x = 57,759,860.23
  5. Step 5: Solve for x
    x = 57,759,860.23/11,223.51
  6. Step 6: Final answer
    x = 5,146.33

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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.