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Finding the Fourth Proportional to 7,769.37, 11,656.96 and 4,651.58

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Solution

The fourth proportional to 7,769.37, 11,656.96 and 4,651.58 is: 6,979.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.37 : 11,656.96 = 4,651.58 : x
  2. Step 2: Convert to fraction form
    7,769.37/11,656.96 = 4,651.58/x
  3. Step 3: Cross multiply
    7,769.37x = 11,656.96 × 4,651.58
  4. Step 4: Simplify right side
    7,769.37x = 54,223,260.10
  5. Step 5: Solve for x
    x = 54,223,260.10/7,769.37
  6. Step 6: Final answer
    x = 6,979.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.