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Finding the Fourth Proportional to 7,738.30, 10,678.86 and 4,381.02

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Solution

The fourth proportional to 7,738.30, 10,678.86 and 4,381.02 is: 6,045.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.30 : 10,678.86 = 4,381.02 : x
  2. Step 2: Convert to fraction form
    7,738.30/10,678.86 = 4,381.02/x
  3. Step 3: Cross multiply
    7,738.30x = 10,678.86 × 4,381.02
  4. Step 4: Simplify right side
    7,738.30x = 46,784,299.24
  5. Step 5: Solve for x
    x = 46,784,299.24/7,738.30
  6. Step 6: Final answer
    x = 6,045.81

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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.