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Finding the Fourth Proportional to 11,643.78, 17,470.23 and 6,710.73

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Solution

The fourth proportional to 11,643.78, 17,470.23 and 6,710.73 is: 10,068.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.78 : 17,470.23 = 6,710.73 : x
  2. Step 2: Convert to fraction form
    11,643.78/17,470.23 = 6,710.73/x
  3. Step 3: Cross multiply
    11,643.78x = 17,470.23 × 6,710.73
  4. Step 4: Simplify right side
    11,643.78x = 117,237,996.57
  5. Step 5: Solve for x
    x = 117,237,996.57/11,643.78
  6. Step 6: Final answer
    x = 10,068.72

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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.