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Finding the Fourth Proportional to 11,497.85, 17,246.78 and 3,064.36

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Solution

The fourth proportional to 11,497.85, 17,246.78 and 3,064.36 is: 4,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.85 : 17,246.78 = 3,064.36 : x
  2. Step 2: Convert to fraction form
    11,497.85/17,246.78 = 3,064.36/x
  3. Step 3: Cross multiply
    11,497.85x = 17,246.78 × 3,064.36
  4. Step 4: Simplify right side
    11,497.85x = 52,850,284.32
  5. Step 5: Solve for x
    x = 52,850,284.32/11,497.85
  6. Step 6: Final answer
    x = 4,596.54

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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.