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Finding the Fourth Proportional to 7,052.88, 9,727.92 and 4,660.08

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Solution

The fourth proportional to 7,052.88, 9,727.92 and 4,660.08 is: 6,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.88 : 9,727.92 = 4,660.08 : x
  2. Step 2: Convert to fraction form
    7,052.88/9,727.92 = 4,660.08/x
  3. Step 3: Cross multiply
    7,052.88x = 9,727.92 × 4,660.08
  4. Step 4: Simplify right side
    7,052.88x = 45,332,885.43
  5. Step 5: Solve for x
    x = 45,332,885.43/7,052.88
  6. Step 6: Final answer
    x = 6,427.57

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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.