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Finding the Fourth Proportional to 7,725.91, 10,660.64 and 4,322.90

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Solution

The fourth proportional to 7,725.91, 10,660.64 and 4,322.90 is: 5,964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.91 : 10,660.64 = 4,322.90 : x
  2. Step 2: Convert to fraction form
    7,725.91/10,660.64 = 4,322.90/x
  3. Step 3: Cross multiply
    7,725.91x = 10,660.64 × 4,322.90
  4. Step 4: Simplify right side
    7,725.91x = 46,084,880.66
  5. Step 5: Solve for x
    x = 46,084,880.66/7,725.91
  6. Step 6: Final answer
    x = 5,964.98

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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.