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Finding the Fourth Proportional to 7,820.90, 10,792.38 and 4,283.48

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Solution

The fourth proportional to 7,820.90, 10,792.38 and 4,283.48 is: 5,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.90 : 10,792.38 = 4,283.48 : x
  2. Step 2: Convert to fraction form
    7,820.90/10,792.38 = 4,283.48/x
  3. Step 3: Cross multiply
    7,820.90x = 10,792.38 × 4,283.48
  4. Step 4: Simplify right side
    7,820.90x = 46,228,943.88
  5. Step 5: Solve for x
    x = 46,228,943.88/7,820.90
  6. Step 6: Final answer
    x = 5,910.95

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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.