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Finding the Fourth Proportional to 7,738.65, 10,678.53 and 4,381.68

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Solution

The fourth proportional to 7,738.65, 10,678.53 and 4,381.68 is: 6,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.65 : 10,678.53 = 4,381.68 : x
  2. Step 2: Convert to fraction form
    7,738.65/10,678.53 = 4,381.68/x
  3. Step 3: Cross multiply
    7,738.65x = 10,678.53 × 4,381.68
  4. Step 4: Simplify right side
    7,738.65x = 46,789,901.33
  5. Step 5: Solve for x
    x = 46,789,901.33/7,738.65
  6. Step 6: Final answer
    x = 6,046.26

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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.