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Finding the Fourth Proportional to 11,810.43, 17,726.63 and 5,971.14

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Solution

The fourth proportional to 11,810.43, 17,726.63 and 5,971.14 is: 8,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.43 : 17,726.63 = 5,971.14 : x
  2. Step 2: Convert to fraction form
    11,810.43/17,726.63 = 5,971.14/x
  3. Step 3: Cross multiply
    11,810.43x = 17,726.63 × 5,971.14
  4. Step 4: Simplify right side
    11,810.43x = 105,848,159.60
  5. Step 5: Solve for x
    x = 105,848,159.60/11,810.43
  6. Step 6: Final answer
    x = 8,962.26

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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.