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Finding the Fourth Proportional to 7,538.60, 10,403.84 and 4,181.39

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Solution

The fourth proportional to 7,538.60, 10,403.84 and 4,181.39 is: 5,770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.60 : 10,403.84 = 4,181.39 : x
  2. Step 2: Convert to fraction form
    7,538.60/10,403.84 = 4,181.39/x
  3. Step 3: Cross multiply
    7,538.60x = 10,403.84 × 4,181.39
  4. Step 4: Simplify right side
    7,538.60x = 43,502,509.99
  5. Step 5: Solve for x
    x = 43,502,509.99/7,538.60
  6. Step 6: Final answer
    x = 5,770.63

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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.