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Finding the Fourth Proportional to 11,938.80, 16,478.02 and 6,902.33

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Solution

The fourth proportional to 11,938.80, 16,478.02 and 6,902.33 is: 9,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938.80 : 16,478.02 = 6,902.33 : x
  2. Step 2: Convert to fraction form
    11,938.80/16,478.02 = 6,902.33/x
  3. Step 3: Cross multiply
    11,938.80x = 16,478.02 × 6,902.33
  4. Step 4: Simplify right side
    11,938.80x = 113,736,658.02
  5. Step 5: Solve for x
    x = 113,736,658.02/11,938.80
  6. Step 6: Final answer
    x = 9,526.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.