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Finding the Fourth Proportional to 12,406.96, 18,594.79 and 5,007.30

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Solution

The fourth proportional to 12,406.96, 18,594.79 and 5,007.30 is: 7,504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.96 : 18,594.79 = 5,007.30 : x
  2. Step 2: Convert to fraction form
    12,406.96/18,594.79 = 5,007.30/x
  3. Step 3: Cross multiply
    12,406.96x = 18,594.79 × 5,007.30
  4. Step 4: Simplify right side
    12,406.96x = 93,109,679.45
  5. Step 5: Solve for x
    x = 93,109,679.45/12,406.96
  6. Step 6: Final answer
    x = 7,504.63

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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.