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Finding the Fourth Proportional to 7,256.70, 10,878.68 and 2,575.98

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Solution

The fourth proportional to 7,256.70, 10,878.68 and 2,575.98 is: 3,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.70 : 10,878.68 = 2,575.98 : x
  2. Step 2: Convert to fraction form
    7,256.70/10,878.68 = 2,575.98/x
  3. Step 3: Cross multiply
    7,256.70x = 10,878.68 × 2,575.98
  4. Step 4: Simplify right side
    7,256.70x = 28,023,262.11
  5. Step 5: Solve for x
    x = 28,023,262.11/7,256.70
  6. Step 6: Final answer
    x = 3,861.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.