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Finding the Fourth Proportional to 11,617.47, 16,040.43 and 7,147.23

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Solution

The fourth proportional to 11,617.47, 16,040.43 and 7,147.23 is: 9,868.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.47 : 16,040.43 = 7,147.23 : x
  2. Step 2: Convert to fraction form
    11,617.47/16,040.43 = 7,147.23/x
  3. Step 3: Cross multiply
    11,617.47x = 16,040.43 × 7,147.23
  4. Step 4: Simplify right side
    11,617.47x = 114,644,642.51
  5. Step 5: Solve for x
    x = 114,644,642.51/11,617.47
  6. Step 6: Final answer
    x = 9,868.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.