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Finding the Fourth Proportional to 7,736.06, 10,676.02 and 4,378.84

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Solution

The fourth proportional to 7,736.06, 10,676.02 and 4,378.84 is: 6,042.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.06 : 10,676.02 = 4,378.84 : x
  2. Step 2: Convert to fraction form
    7,736.06/10,676.02 = 4,378.84/x
  3. Step 3: Cross multiply
    7,736.06x = 10,676.02 × 4,378.84
  4. Step 4: Simplify right side
    7,736.06x = 46,748,583.42
  5. Step 5: Solve for x
    x = 46,748,583.42/7,736.06
  6. Step 6: Final answer
    x = 6,042.94

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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.