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Finding the Fourth Proportional to 7,840.38, 10,820.40 and 4,304.28

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Solution

The fourth proportional to 7,840.38, 10,820.40 and 4,304.28 is: 5,940.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.38 : 10,820.40 = 4,304.28 : x
  2. Step 2: Convert to fraction form
    7,840.38/10,820.40 = 4,304.28/x
  3. Step 3: Cross multiply
    7,840.38x = 10,820.40 × 4,304.28
  4. Step 4: Simplify right side
    7,840.38x = 46,574,031.31
  5. Step 5: Solve for x
    x = 46,574,031.31/7,840.38
  6. Step 6: Final answer
    x = 5,940.28

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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.