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Finding the Fourth Proportional to 12,478.86, 18,713.12 and 5,078.29

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Solution

The fourth proportional to 12,478.86, 18,713.12 and 5,078.29 is: 7,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.86 : 18,713.12 = 5,078.29 : x
  2. Step 2: Convert to fraction form
    12,478.86/18,713.12 = 5,078.29/x
  3. Step 3: Cross multiply
    12,478.86x = 18,713.12 × 5,078.29
  4. Step 4: Simplify right side
    12,478.86x = 95,030,624.77
  5. Step 5: Solve for x
    x = 95,030,624.77/12,478.86
  6. Step 6: Final answer
    x = 7,615.33

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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.