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Finding the Fourth Proportional to 11,490.76, 17,237.70 and 5,647.60

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Solution

The fourth proportional to 11,490.76, 17,237.70 and 5,647.60 is: 8,472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.76 : 17,237.70 = 5,647.60 : x
  2. Step 2: Convert to fraction form
    11,490.76/17,237.70 = 5,647.60/x
  3. Step 3: Cross multiply
    11,490.76x = 17,237.70 × 5,647.60
  4. Step 4: Simplify right side
    11,490.76x = 97,351,634.52
  5. Step 5: Solve for x
    x = 97,351,634.52/11,490.76
  6. Step 6: Final answer
    x = 8,472.17

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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.