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Finding the Fourth Proportional to 11,702.96, 17,552.54 and 3,911.76

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Solution

The fourth proportional to 11,702.96, 17,552.54 and 3,911.76 is: 5,867.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.96 : 17,552.54 = 3,911.76 : x
  2. Step 2: Convert to fraction form
    11,702.96/17,552.54 = 3,911.76/x
  3. Step 3: Cross multiply
    11,702.96x = 17,552.54 × 3,911.76
  4. Step 4: Simplify right side
    11,702.96x = 68,661,323.87
  5. Step 5: Solve for x
    x = 68,661,323.87/11,702.96
  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.