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Finding the Fourth Proportional to 12,078.60, 18,125 and 4,682.68

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Solution

The fourth proportional to 12,078.60, 18,125 and 4,682.68 is: 7,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.60 : 18,125 = 4,682.68 : x
  2. Step 2: Convert to fraction form
    12,078.60/18,125 = 4,682.68/x
  3. Step 3: Cross multiply
    12,078.60x = 18,125 × 4,682.68
  4. Step 4: Simplify right side
    12,078.60x = 84,873,575
  5. Step 5: Solve for x
    x = 84,873,575/12,078.60
  6. Step 6: Final answer
    x = 7,026.77

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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.