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Finding the Fourth Proportional to 7,662.98, 11,504.20 and 6,516.02

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Solution

The fourth proportional to 7,662.98, 11,504.20 and 6,516.02 is: 9,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.98 : 11,504.20 = 6,516.02 : x
  2. Step 2: Convert to fraction form
    7,662.98/11,504.20 = 6,516.02/x
  3. Step 3: Cross multiply
    7,662.98x = 11,504.20 × 6,516.02
  4. Step 4: Simplify right side
    7,662.98x = 74,961,597.28
  5. Step 5: Solve for x
    x = 74,961,597.28/7,662.98
  6. Step 6: Final answer
    x = 9,782.30

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Why These Related Problems?

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