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Finding the Fourth Proportional to 7,839.98, 10,819.13 and 4,303.16

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Solution

The fourth proportional to 7,839.98, 10,819.13 and 4,303.16 is: 5,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.98 : 10,819.13 = 4,303.16 : x
  2. Step 2: Convert to fraction form
    7,839.98/10,819.13 = 4,303.16/x
  3. Step 3: Cross multiply
    7,839.98x = 10,819.13 × 4,303.16
  4. Step 4: Simplify right side
    7,839.98x = 46,556,447.45
  5. Step 5: Solve for x
    x = 46,556,447.45/7,839.98
  6. Step 6: Final answer
    x = 5,938.34

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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.