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Finding the Fourth Proportional to 11,533.12, 17,294.21 and 5,980.91

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Solution

The fourth proportional to 11,533.12, 17,294.21 and 5,980.91 is: 8,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.12 : 17,294.21 = 5,980.91 : x
  2. Step 2: Convert to fraction form
    11,533.12/17,294.21 = 5,980.91/x
  3. Step 3: Cross multiply
    11,533.12x = 17,294.21 × 5,980.91
  4. Step 4: Simplify right side
    11,533.12x = 103,435,019.58
  5. Step 5: Solve for x
    x = 103,435,019.58/11,533.12
  6. Step 6: Final answer
    x = 8,968.52

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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.