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Finding the Fourth Proportional to 8,083.64, 11,153.74 and 4,725.80

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Solution

The fourth proportional to 8,083.64, 11,153.74 and 4,725.80 is: 6,520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.64 : 11,153.74 = 4,725.80 : x
  2. Step 2: Convert to fraction form
    8,083.64/11,153.74 = 4,725.80/x
  3. Step 3: Cross multiply
    8,083.64x = 11,153.74 × 4,725.80
  4. Step 4: Simplify right side
    8,083.64x = 52,710,276.91
  5. Step 5: Solve for x
    x = 52,710,276.91/8,083.64
  6. Step 6: Final answer
    x = 6,520.62

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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.