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Finding the Fourth Proportional to 11,611.96, 17,395.26 and 9,276.76

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Solution

The fourth proportional to 11,611.96, 17,395.26 and 9,276.76 is: 13,897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.96 : 17,395.26 = 9,276.76 : x
  2. Step 2: Convert to fraction form
    11,611.96/17,395.26 = 9,276.76/x
  3. Step 3: Cross multiply
    11,611.96x = 17,395.26 × 9,276.76
  4. Step 4: Simplify right side
    11,611.96x = 161,371,652.16
  5. Step 5: Solve for x
    x = 161,371,652.16/11,611.96
  6. Step 6: Final answer
    x = 13,897.02

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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.