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Finding the Fourth Proportional to 7,673.36, 11,497.74 and 6,935.25

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Solution

The fourth proportional to 7,673.36, 11,497.74 and 6,935.25 is: 10,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.36 : 11,497.74 = 6,935.25 : x
  2. Step 2: Convert to fraction form
    7,673.36/11,497.74 = 6,935.25/x
  3. Step 3: Cross multiply
    7,673.36x = 11,497.74 × 6,935.25
  4. Step 4: Simplify right side
    7,673.36x = 79,739,701.34
  5. Step 5: Solve for x
    x = 79,739,701.34/7,673.36
  6. Step 6: Final answer
    x = 10,391.75

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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.