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Finding the Fourth Proportional to 11,702.61, 17,554.77 and 3,911.40

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Solution

The fourth proportional to 11,702.61, 17,554.77 and 3,911.40 is: 5,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.61 : 17,554.77 = 3,911.40 : x
  2. Step 2: Convert to fraction form
    11,702.61/17,554.77 = 3,911.40/x
  3. Step 3: Cross multiply
    11,702.61x = 17,554.77 × 3,911.40
  4. Step 4: Simplify right side
    11,702.61x = 68,663,727.38
  5. Step 5: Solve for x
    x = 68,663,727.38/11,702.61
  6. Step 6: Final answer
    x = 5,867.39

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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.