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Finding the Fourth Proportional to 7,357.68, 11,030.29 and 3,194.55

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Solution

The fourth proportional to 7,357.68, 11,030.29 and 3,194.55 is: 4,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.68 : 11,030.29 = 3,194.55 : x
  2. Step 2: Convert to fraction form
    7,357.68/11,030.29 = 3,194.55/x
  3. Step 3: Cross multiply
    7,357.68x = 11,030.29 × 3,194.55
  4. Step 4: Simplify right side
    7,357.68x = 35,236,804.93
  5. Step 5: Solve for x
    x = 35,236,804.93/7,357.68
  6. Step 6: Final answer
    x = 4,789.12

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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.