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Finding the Fourth Proportional to 7,820.30, 10,792.17 and 4,283.52

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Solution

The fourth proportional to 7,820.30, 10,792.17 and 4,283.52 is: 5,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.30 : 10,792.17 = 4,283.52 : x
  2. Step 2: Convert to fraction form
    7,820.30/10,792.17 = 4,283.52/x
  3. Step 3: Cross multiply
    7,820.30x = 10,792.17 × 4,283.52
  4. Step 4: Simplify right side
    7,820.30x = 46,228,422.08
  5. Step 5: Solve for x
    x = 46,228,422.08/7,820.30
  6. Step 6: Final answer
    x = 5,911.34

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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.