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Finding the Fourth Proportional to 11,538.54, 17,307.80 and 5,989.02

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Solution

The fourth proportional to 11,538.54, 17,307.80 and 5,989.02 is: 8,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.54 : 17,307.80 = 5,989.02 : x
  2. Step 2: Convert to fraction form
    11,538.54/17,307.80 = 5,989.02/x
  3. Step 3: Cross multiply
    11,538.54x = 17,307.80 × 5,989.02
  4. Step 4: Simplify right side
    11,538.54x = 103,656,730.41
  5. Step 5: Solve for x
    x = 103,656,730.41/11,538.54
  6. Step 6: Final answer
    x = 8,983.52

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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.