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Finding the Fourth Proportional to 7,840.85, 10,814.72 and 4,968.59

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Solution

The fourth proportional to 7,840.85, 10,814.72 and 4,968.59 is: 6,853.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.85 : 10,814.72 = 4,968.59 : x
  2. Step 2: Convert to fraction form
    7,840.85/10,814.72 = 4,968.59/x
  3. Step 3: Cross multiply
    7,840.85x = 10,814.72 × 4,968.59
  4. Step 4: Simplify right side
    7,840.85x = 53,733,891.56
  5. Step 5: Solve for x
    x = 53,733,891.56/7,840.85
  6. Step 6: Final answer
    x = 6,853.07

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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.