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Finding the Fourth Proportional to 11,817.10, 17,708.93 and 6,554.42

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Solution

The fourth proportional to 11,817.10, 17,708.93 and 6,554.42 is: 9,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.10 : 17,708.93 = 6,554.42 : x
  2. Step 2: Convert to fraction form
    11,817.10/17,708.93 = 6,554.42/x
  3. Step 3: Cross multiply
    11,817.10x = 17,708.93 × 6,554.42
  4. Step 4: Simplify right side
    11,817.10x = 116,071,732.20
  5. Step 5: Solve for x
    x = 116,071,732.20/11,817.10
  6. Step 6: Final answer
    x = 9,822.36

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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.