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Finding the Fourth Proportional to 11,782.47, 17,673.30 and 3,017.46

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Solution

The fourth proportional to 11,782.47, 17,673.30 and 3,017.46 is: 4,526.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.47 : 17,673.30 = 3,017.46 : x
  2. Step 2: Convert to fraction form
    11,782.47/17,673.30 = 3,017.46/x
  3. Step 3: Cross multiply
    11,782.47x = 17,673.30 × 3,017.46
  4. Step 4: Simplify right side
    11,782.47x = 53,328,475.82
  5. Step 5: Solve for x
    x = 53,328,475.82/11,782.47
  6. Step 6: Final answer
    x = 4,526.09

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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.