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Finding the Fourth Proportional to 8,420.99, 12,631.50 and 2,577.57

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Solution

The fourth proportional to 8,420.99, 12,631.50 and 2,577.57 is: 3,866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.99 : 12,631.50 = 2,577.57 : x
  2. Step 2: Convert to fraction form
    8,420.99/12,631.50 = 2,577.57/x
  3. Step 3: Cross multiply
    8,420.99x = 12,631.50 × 2,577.57
  4. Step 4: Simplify right side
    8,420.99x = 32,558,575.46
  5. Step 5: Solve for x
    x = 32,558,575.46/8,420.99
  6. Step 6: Final answer
    x = 3,866.36

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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.