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Finding the Fourth Proportional to 12,590.04, 18,881.40 and 3,825

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Solution

The fourth proportional to 12,590.04, 18,881.40 and 3,825 is: 5,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.04 : 18,881.40 = 3,825 : x
  2. Step 2: Convert to fraction form
    12,590.04/18,881.40 = 3,825/x
  3. Step 3: Cross multiply
    12,590.04x = 18,881.40 × 3,825
  4. Step 4: Simplify right side
    12,590.04x = 72,221,355
  5. Step 5: Solve for x
    x = 72,221,355/12,590.04
  6. Step 6: Final answer
    x = 5,736.39

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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.