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Finding the Fourth Proportional to 10,640.19, 14,673.87 and 6,661.65

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Solution

The fourth proportional to 10,640.19, 14,673.87 and 6,661.65 is: 9,187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.19 : 14,673.87 = 6,661.65 : x
  2. Step 2: Convert to fraction form
    10,640.19/14,673.87 = 6,661.65/x
  3. Step 3: Cross multiply
    10,640.19x = 14,673.87 × 6,661.65
  4. Step 4: Simplify right side
    10,640.19x = 97,752,186.09
  5. Step 5: Solve for x
    x = 97,752,186.09/10,640.19
  6. Step 6: Final answer
    x = 9,187.07

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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.