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Finding the Fourth Proportional to 7,523.64, 10,379.20 and 4,378

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Solution

The fourth proportional to 7,523.64, 10,379.20 and 4,378 is: 6,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.64 : 10,379.20 = 4,378 : x
  2. Step 2: Convert to fraction form
    7,523.64/10,379.20 = 4,378/x
  3. Step 3: Cross multiply
    7,523.64x = 10,379.20 × 4,378
  4. Step 4: Simplify right side
    7,523.64x = 45,440,137.60
  5. Step 5: Solve for x
    x = 45,440,137.60/7,523.64
  6. Step 6: Final answer
    x = 6,039.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.