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Finding the Fourth Proportional to 7,820.88, 10,792.26 and 4,284.06

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Solution

The fourth proportional to 7,820.88, 10,792.26 and 4,284.06 is: 5,911.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.88 : 10,792.26 = 4,284.06 : x
  2. Step 2: Convert to fraction form
    7,820.88/10,792.26 = 4,284.06/x
  3. Step 3: Cross multiply
    7,820.88x = 10,792.26 × 4,284.06
  4. Step 4: Simplify right side
    7,820.88x = 46,234,689.38
  5. Step 5: Solve for x
    x = 46,234,689.38/7,820.88
  6. Step 6: Final answer
    x = 5,911.70

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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.