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Finding the Fourth Proportional to 12,888.54, 17,792.79 and 7,923.42

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Solution

The fourth proportional to 12,888.54, 17,792.79 and 7,923.42 is: 10,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888.54 : 17,792.79 = 7,923.42 : x
  2. Step 2: Convert to fraction form
    12,888.54/17,792.79 = 7,923.42/x
  3. Step 3: Cross multiply
    12,888.54x = 17,792.79 × 7,923.42
  4. Step 4: Simplify right side
    12,888.54x = 140,979,748.14
  5. Step 5: Solve for x
    x = 140,979,748.14/12,888.54
  6. Step 6: Final answer
    x = 10,938.38

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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.