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Finding the Fourth Proportional to 6,852.03, 10,278 and 5,294.28

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Solution

The fourth proportional to 6,852.03, 10,278 and 5,294.28 is: 7,941.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.03 : 10,278 = 5,294.28 : x
  2. Step 2: Convert to fraction form
    6,852.03/10,278 = 5,294.28/x
  3. Step 3: Cross multiply
    6,852.03x = 10,278 × 5,294.28
  4. Step 4: Simplify right side
    6,852.03x = 54,414,609.84
  5. Step 5: Solve for x
    x = 54,414,609.84/6,852.03
  6. Step 6: Final answer
    x = 7,941.39

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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.