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Finding the Fourth Proportional to 11,805.34, 17,710.86 and 5,233.42

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Solution

The fourth proportional to 11,805.34, 17,710.86 and 5,233.42 is: 7,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.34 : 17,710.86 = 5,233.42 : x
  2. Step 2: Convert to fraction form
    11,805.34/17,710.86 = 5,233.42/x
  3. Step 3: Cross multiply
    11,805.34x = 17,710.86 × 5,233.42
  4. Step 4: Simplify right side
    11,805.34x = 92,688,368.94
  5. Step 5: Solve for x
    x = 92,688,368.94/11,805.34
  6. Step 6: Final answer
    x = 7,851.39

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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.