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Finding the Fourth Proportional to 8,278, 11,426.07 and 4,923.19

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Solution

The fourth proportional to 8,278, 11,426.07 and 4,923.19 is: 6,795.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278 : 11,426.07 = 4,923.19 : x
  2. Step 2: Convert to fraction form
    8,278/11,426.07 = 4,923.19/x
  3. Step 3: Cross multiply
    8,278x = 11,426.07 × 4,923.19
  4. Step 4: Simplify right side
    8,278x = 56,252,713.56
  5. Step 5: Solve for x
    x = 56,252,713.56/8,278
  6. Step 6: Final answer
    x = 6,795.45

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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.