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Finding the Fourth Proportional to 8,123.58, 12,186 and 2,577.24

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Solution

The fourth proportional to 8,123.58, 12,186 and 2,577.24 is: 3,866.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.58 : 12,186 = 2,577.24 : x
  2. Step 2: Convert to fraction form
    8,123.58/12,186 = 2,577.24/x
  3. Step 3: Cross multiply
    8,123.58x = 12,186 × 2,577.24
  4. Step 4: Simplify right side
    8,123.58x = 31,406,246.64
  5. Step 5: Solve for x
    x = 31,406,246.64/8,123.58
  6. Step 6: Final answer
    x = 3,866.06

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Why These Related Problems?

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