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Finding the Fourth Proportional to 11,617.33, 16,033.29 and 6,901.63

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Solution

The fourth proportional to 11,617.33, 16,033.29 and 6,901.63 is: 9,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.33 : 16,033.29 = 6,901.63 : x
  2. Step 2: Convert to fraction form
    11,617.33/16,033.29 = 6,901.63/x
  3. Step 3: Cross multiply
    11,617.33x = 16,033.29 × 6,901.63
  4. Step 4: Simplify right side
    11,617.33x = 110,655,835.26
  5. Step 5: Solve for x
    x = 110,655,835.26/11,617.33
  6. Step 6: Final answer
    x = 9,525.07

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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.