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Finding the Fourth Proportional to 7,323.60, 10,986.12 and 2,129.52

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Solution

The fourth proportional to 7,323.60, 10,986.12 and 2,129.52 is: 3,194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.60 : 10,986.12 = 2,129.52 : x
  2. Step 2: Convert to fraction form
    7,323.60/10,986.12 = 2,129.52/x
  3. Step 3: Cross multiply
    7,323.60x = 10,986.12 × 2,129.52
  4. Step 4: Simplify right side
    7,323.60x = 23,395,162.26
  5. Step 5: Solve for x
    x = 23,395,162.26/7,323.60
  6. Step 6: Final answer
    x = 3,194.49

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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.