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Finding the Fourth Proportional to 7,669.80, 11,448.72 and 6,581.16

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Solution

The fourth proportional to 7,669.80, 11,448.72 and 6,581.16 is: 9,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.80 : 11,448.72 = 6,581.16 : x
  2. Step 2: Convert to fraction form
    7,669.80/11,448.72 = 6,581.16/x
  3. Step 3: Cross multiply
    7,669.80x = 11,448.72 × 6,581.16
  4. Step 4: Simplify right side
    7,669.80x = 75,345,858.12
  5. Step 5: Solve for x
    x = 75,345,858.12/7,669.80
  6. Step 6: Final answer
    x = 9,823.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.