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Finding the Fourth Proportional to 7,016.96, 9,684.16 and 5,245.52

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Solution

The fourth proportional to 7,016.96, 9,684.16 and 5,245.52 is: 7,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.96 : 9,684.16 = 5,245.52 : x
  2. Step 2: Convert to fraction form
    7,016.96/9,684.16 = 5,245.52/x
  3. Step 3: Cross multiply
    7,016.96x = 9,684.16 × 5,245.52
  4. Step 4: Simplify right side
    7,016.96x = 50,798,454.96
  5. Step 5: Solve for x
    x = 50,798,454.96/7,016.96
  6. Step 6: Final answer
    x = 7,239.38

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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.