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Finding the Fourth Proportional to 11,547.90, 17,321.82 and 2,782.80

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Solution

The fourth proportional to 11,547.90, 17,321.82 and 2,782.80 is: 4,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.90 : 17,321.82 = 2,782.80 : x
  2. Step 2: Convert to fraction form
    11,547.90/17,321.82 = 2,782.80/x
  3. Step 3: Cross multiply
    11,547.90x = 17,321.82 × 2,782.80
  4. Step 4: Simplify right side
    11,547.90x = 48,203,160.70
  5. Step 5: Solve for x
    x = 48,203,160.70/11,547.90
  6. Step 6: Final answer
    x = 4,174.19

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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.