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Finding the Fourth Proportional to 7,164.60, 10,743.08 and 2,483.42

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Solution

The fourth proportional to 7,164.60, 10,743.08 and 2,483.42 is: 3,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.60 : 10,743.08 = 2,483.42 : x
  2. Step 2: Convert to fraction form
    7,164.60/10,743.08 = 2,483.42/x
  3. Step 3: Cross multiply
    7,164.60x = 10,743.08 × 2,483.42
  4. Step 4: Simplify right side
    7,164.60x = 26,679,513.60
  5. Step 5: Solve for x
    x = 26,679,513.60/7,164.60
  6. Step 6: Final answer
    x = 3,723.80

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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.