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Finding the Fourth Proportional to 11,606.90, 17,394.62 and 5,353.16

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Solution

The fourth proportional to 11,606.90, 17,394.62 and 5,353.16 is: 8,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.90 : 17,394.62 = 5,353.16 : x
  2. Step 2: Convert to fraction form
    11,606.90/17,394.62 = 5,353.16/x
  3. Step 3: Cross multiply
    11,606.90x = 17,394.62 × 5,353.16
  4. Step 4: Simplify right side
    11,606.90x = 93,116,070.26
  5. Step 5: Solve for x
    x = 93,116,070.26/11,606.90
  6. Step 6: Final answer
    x = 8,022.48

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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.