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Finding the Fourth Proportional to 11,641.31, 17,457.71 and 4,243.58

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Solution

The fourth proportional to 11,641.31, 17,457.71 and 4,243.58 is: 6,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.31 : 17,457.71 = 4,243.58 : x
  2. Step 2: Convert to fraction form
    11,641.31/17,457.71 = 4,243.58/x
  3. Step 3: Cross multiply
    11,641.31x = 17,457.71 × 4,243.58
  4. Step 4: Simplify right side
    11,641.31x = 74,083,189.00
  5. Step 5: Solve for x
    x = 74,083,189.00/11,641.31
  6. Step 6: Final answer
    x = 6,363.82

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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.