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Finding the Fourth Proportional to 7,841.12, 10,820.93 and 4,304.39

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Solution

The fourth proportional to 7,841.12, 10,820.93 and 4,304.39 is: 5,940.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.12 : 10,820.93 = 4,304.39 : x
  2. Step 2: Convert to fraction form
    7,841.12/10,820.93 = 4,304.39/x
  3. Step 3: Cross multiply
    7,841.12x = 10,820.93 × 4,304.39
  4. Step 4: Simplify right side
    7,841.12x = 46,577,427.26
  5. Step 5: Solve for x
    x = 46,577,427.26/7,841.12
  6. Step 6: Final answer
    x = 5,940.15

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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.