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Finding the Fourth Proportional to 12,607.28, 18,904.44 and 5,678

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Solution

The fourth proportional to 12,607.28, 18,904.44 and 5,678 is: 8,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607.28 : 18,904.44 = 5,678 : x
  2. Step 2: Convert to fraction form
    12,607.28/18,904.44 = 5,678/x
  3. Step 3: Cross multiply
    12,607.28x = 18,904.44 × 5,678
  4. Step 4: Simplify right side
    12,607.28x = 107,339,410.32
  5. Step 5: Solve for x
    x = 107,339,410.32/12,607.28
  6. Step 6: Final answer
    x = 8,514.08

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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.