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Finding the Fourth Proportional to 7,213.63, 9,953.08 and 4,069.83

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Solution

The fourth proportional to 7,213.63, 9,953.08 and 4,069.83 is: 5,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.63 : 9,953.08 = 4,069.83 : x
  2. Step 2: Convert to fraction form
    7,213.63/9,953.08 = 4,069.83/x
  3. Step 3: Cross multiply
    7,213.63x = 9,953.08 × 4,069.83
  4. Step 4: Simplify right side
    7,213.63x = 40,507,343.58
  5. Step 5: Solve for x
    x = 40,507,343.58/7,213.63
  6. Step 6: Final answer
    x = 5,615.39

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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.