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Finding the Fourth Proportional to 7,157.41, 9,876 and 4,508.35

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Solution

The fourth proportional to 7,157.41, 9,876 and 4,508.35 is: 6,220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.41 : 9,876 = 4,508.35 : x
  2. Step 2: Convert to fraction form
    7,157.41/9,876 = 4,508.35/x
  3. Step 3: Cross multiply
    7,157.41x = 9,876 × 4,508.35
  4. Step 4: Simplify right side
    7,157.41x = 44,524,464.60
  5. Step 5: Solve for x
    x = 44,524,464.60/7,157.41
  6. Step 6: Final answer
    x = 6,220.75

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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.