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Finding the Fourth Proportional to 7,840.74, 10,820.25 and 4,255.71

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Solution

The fourth proportional to 7,840.74, 10,820.25 and 4,255.71 is: 5,872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.74 : 10,820.25 = 4,255.71 : x
  2. Step 2: Convert to fraction form
    7,840.74/10,820.25 = 4,255.71/x
  3. Step 3: Cross multiply
    7,840.74x = 10,820.25 × 4,255.71
  4. Step 4: Simplify right side
    7,840.74x = 46,047,846.13
  5. Step 5: Solve for x
    x = 46,047,846.13/7,840.74
  6. Step 6: Final answer
    x = 5,872.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.