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Finding the Fourth Proportional to 7,783.22, 11,716.38 and 6,979.50

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Solution

The fourth proportional to 7,783.22, 11,716.38 and 6,979.50 is: 10,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.22 : 11,716.38 = 6,979.50 : x
  2. Step 2: Convert to fraction form
    7,783.22/11,716.38 = 6,979.50/x
  3. Step 3: Cross multiply
    7,783.22x = 11,716.38 × 6,979.50
  4. Step 4: Simplify right side
    7,783.22x = 81,774,474.21
  5. Step 5: Solve for x
    x = 81,774,474.21/7,783.22
  6. Step 6: Final answer
    x = 10,506.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.