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Finding the Fourth Proportional to 8,200.93, 12,301.40 and 2,357.54

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Solution

The fourth proportional to 8,200.93, 12,301.40 and 2,357.54 is: 3,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.93 : 12,301.40 = 2,357.54 : x
  2. Step 2: Convert to fraction form
    8,200.93/12,301.40 = 2,357.54/x
  3. Step 3: Cross multiply
    8,200.93x = 12,301.40 × 2,357.54
  4. Step 4: Simplify right side
    8,200.93x = 29,001,033.07
  5. Step 5: Solve for x
    x = 29,001,033.07/8,200.93
  6. Step 6: Final answer
    x = 3,536.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.