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Finding the Fourth Proportional to 7,640.65, 11,461.33 and 3,950.09

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Solution

The fourth proportional to 7,640.65, 11,461.33 and 3,950.09 is: 5,925.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.65 : 11,461.33 = 3,950.09 : x
  2. Step 2: Convert to fraction form
    7,640.65/11,461.33 = 3,950.09/x
  3. Step 3: Cross multiply
    7,640.65x = 11,461.33 × 3,950.09
  4. Step 4: Simplify right side
    7,640.65x = 45,273,275.63
  5. Step 5: Solve for x
    x = 45,273,275.63/7,640.65
  6. Step 6: Final answer
    x = 5,925.32

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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.