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Finding the Fourth Proportional to 11,601.90, 17,402.31 and 3,810.78

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Solution

The fourth proportional to 11,601.90, 17,402.31 and 3,810.78 is: 5,715.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.90 : 17,402.31 = 3,810.78 : x
  2. Step 2: Convert to fraction form
    11,601.90/17,402.31 = 3,810.78/x
  3. Step 3: Cross multiply
    11,601.90x = 17,402.31 × 3,810.78
  4. Step 4: Simplify right side
    11,601.90x = 66,316,374.90
  5. Step 5: Solve for x
    x = 66,316,374.90/11,601.90
  6. Step 6: Final answer
    x = 5,715.99

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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.