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Finding the Fourth Proportional to 11,580.90, 17,371.16 and 3,683.30

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Solution

The fourth proportional to 11,580.90, 17,371.16 and 3,683.30 is: 5,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.90 : 17,371.16 = 3,683.30 : x
  2. Step 2: Convert to fraction form
    11,580.90/17,371.16 = 3,683.30/x
  3. Step 3: Cross multiply
    11,580.90x = 17,371.16 × 3,683.30
  4. Step 4: Simplify right side
    11,580.90x = 63,983,139.34
  5. Step 5: Solve for x
    x = 63,983,139.34/11,580.90
  6. Step 6: Final answer
    x = 5,524.89

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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.