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Finding the Fourth Proportional to 6,725.60, 10,076.94 and 4,382.08

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Solution

The fourth proportional to 6,725.60, 10,076.94 and 4,382.08 is: 6,565.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.60 : 10,076.94 = 4,382.08 : x
  2. Step 2: Convert to fraction form
    6,725.60/10,076.94 = 4,382.08/x
  3. Step 3: Cross multiply
    6,725.60x = 10,076.94 × 4,382.08
  4. Step 4: Simplify right side
    6,725.60x = 44,157,957.24
  5. Step 5: Solve for x
    x = 44,157,957.24/6,725.60
  6. Step 6: Final answer
    x = 6,565.65

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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.