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Finding the Fourth Proportional to 7,524.96, 10,384.82 and 4,540.75

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Solution

The fourth proportional to 7,524.96, 10,384.82 and 4,540.75 is: 6,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.96 : 10,384.82 = 4,540.75 : x
  2. Step 2: Convert to fraction form
    7,524.96/10,384.82 = 4,540.75/x
  3. Step 3: Cross multiply
    7,524.96x = 10,384.82 × 4,540.75
  4. Step 4: Simplify right side
    7,524.96x = 47,154,856.80
  5. Step 5: Solve for x
    x = 47,154,856.80/7,524.96
  6. Step 6: Final answer
    x = 6,266.46

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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.