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Finding the Fourth Proportional to 7,245.96, 10,007.58 and 4,884

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Solution

The fourth proportional to 7,245.96, 10,007.58 and 4,884 is: 6,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.96 : 10,007.58 = 4,884 : x
  2. Step 2: Convert to fraction form
    7,245.96/10,007.58 = 4,884/x
  3. Step 3: Cross multiply
    7,245.96x = 10,007.58 × 4,884
  4. Step 4: Simplify right side
    7,245.96x = 48,877,020.72
  5. Step 5: Solve for x
    x = 48,877,020.72/7,245.96
  6. Step 6: Final answer
    x = 6,745.42

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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.