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Finding the Fourth Proportional to 7,639.65, 11,460.08 and 3,257.14

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Solution

The fourth proportional to 7,639.65, 11,460.08 and 3,257.14 is: 4,885.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.65 : 11,460.08 = 3,257.14 : x
  2. Step 2: Convert to fraction form
    7,639.65/11,460.08 = 3,257.14/x
  3. Step 3: Cross multiply
    7,639.65x = 11,460.08 × 3,257.14
  4. Step 4: Simplify right side
    7,639.65x = 37,327,068.69
  5. Step 5: Solve for x
    x = 37,327,068.69/7,639.65
  6. Step 6: Final answer
    x = 4,885.97

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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.