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Finding the Fourth Proportional to 11,323.94, 16,988.33 and 4,746.33

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Solution

The fourth proportional to 11,323.94, 16,988.33 and 4,746.33 is: 7,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.94 : 16,988.33 = 4,746.33 : x
  2. Step 2: Convert to fraction form
    11,323.94/16,988.33 = 4,746.33/x
  3. Step 3: Cross multiply
    11,323.94x = 16,988.33 × 4,746.33
  4. Step 4: Simplify right side
    11,323.94x = 80,632,232.19
  5. Step 5: Solve for x
    x = 80,632,232.19/11,323.94
  6. Step 6: Final answer
    x = 7,120.51

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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.