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Finding the Fourth Proportional to 11,702.98, 17,552.52 and 3,911.77

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Solution

The fourth proportional to 11,702.98, 17,552.52 and 3,911.77 is: 5,867.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.98 : 17,552.52 = 3,911.77 : x
  2. Step 2: Convert to fraction form
    11,702.98/17,552.52 = 3,911.77/x
  3. Step 3: Cross multiply
    11,702.98x = 17,552.52 × 3,911.77
  4. Step 4: Simplify right side
    11,702.98x = 68,661,421.16
  5. Step 5: Solve for x
    x = 68,661,421.16/11,702.98
  6. Step 6: Final answer
    x = 5,867.00

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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.