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Finding the Fourth Proportional to 8,498.77, 11,728.28 and 4,721.92

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Solution

The fourth proportional to 8,498.77, 11,728.28 and 4,721.92 is: 6,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.77 : 11,728.28 = 4,721.92 : x
  2. Step 2: Convert to fraction form
    8,498.77/11,728.28 = 4,721.92/x
  3. Step 3: Cross multiply
    8,498.77x = 11,728.28 × 4,721.92
  4. Step 4: Simplify right side
    8,498.77x = 55,379,999.90
  5. Step 5: Solve for x
    x = 55,379,999.90/8,498.77
  6. Step 6: Final answer
    x = 6,516.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.