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Finding the Fourth Proportional to 7,736.96, 10,679.28 and 4,713.20

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Solution

The fourth proportional to 7,736.96, 10,679.28 and 4,713.20 is: 6,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.96 : 10,679.28 = 4,713.20 : x
  2. Step 2: Convert to fraction form
    7,736.96/10,679.28 = 4,713.20/x
  3. Step 3: Cross multiply
    7,736.96x = 10,679.28 × 4,713.20
  4. Step 4: Simplify right side
    7,736.96x = 50,333,582.50
  5. Step 5: Solve for x
    x = 50,333,582.50/7,736.96
  6. Step 6: Final answer
    x = 6,505.60

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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.