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Finding the Fourth Proportional to 7,016.73, 9,680.83 and 4,659.34

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Solution

The fourth proportional to 7,016.73, 9,680.83 and 4,659.34 is: 6,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.73 : 9,680.83 = 4,659.34 : x
  2. Step 2: Convert to fraction form
    7,016.73/9,680.83 = 4,659.34/x
  3. Step 3: Cross multiply
    7,016.73x = 9,680.83 × 4,659.34
  4. Step 4: Simplify right side
    7,016.73x = 45,106,242.60
  5. Step 5: Solve for x
    x = 45,106,242.60/7,016.73
  6. Step 6: Final answer
    x = 6,428.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.