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Finding the Fourth Proportional to 7,653.45, 11,475.39 and 3,209.93

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Solution

The fourth proportional to 7,653.45, 11,475.39 and 3,209.93 is: 4,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653.45 : 11,475.39 = 3,209.93 : x
  2. Step 2: Convert to fraction form
    7,653.45/11,475.39 = 3,209.93/x
  3. Step 3: Cross multiply
    7,653.45x = 11,475.39 × 3,209.93
  4. Step 4: Simplify right side
    7,653.45x = 36,835,141.25
  5. Step 5: Solve for x
    x = 36,835,141.25/7,653.45
  6. Step 6: Final answer
    x = 4,812.88

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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.