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Finding the Fourth Proportional to 8,123.14, 12,186.23 and 2,575

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Solution

The fourth proportional to 8,123.14, 12,186.23 and 2,575 is: 3,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.14 : 12,186.23 = 2,575 : x
  2. Step 2: Convert to fraction form
    8,123.14/12,186.23 = 2,575/x
  3. Step 3: Cross multiply
    8,123.14x = 12,186.23 × 2,575
  4. Step 4: Simplify right side
    8,123.14x = 31,379,542.25
  5. Step 5: Solve for x
    x = 31,379,542.25/8,123.14
  6. Step 6: Final answer
    x = 3,862.98

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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.