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Finding the Fourth Proportional to 7,840.38, 10,819.26 and 4,482.66

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Solution

The fourth proportional to 7,840.38, 10,819.26 and 4,482.66 is: 6,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.38 : 10,819.26 = 4,482.66 : x
  2. Step 2: Convert to fraction form
    7,840.38/10,819.26 = 4,482.66/x
  3. Step 3: Cross multiply
    7,840.38x = 10,819.26 × 4,482.66
  4. Step 4: Simplify right side
    7,840.38x = 48,499,064.03
  5. Step 5: Solve for x
    x = 48,499,064.03/7,840.38
  6. Step 6: Final answer
    x = 6,185.81

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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.