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Finding the Fourth Proportional to 12,358.86, 17,048.87 and 8,378.62

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Solution

The fourth proportional to 12,358.86, 17,048.87 and 8,378.62 is: 11,558.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.86 : 17,048.87 = 8,378.62 : x
  2. Step 2: Convert to fraction form
    12,358.86/17,048.87 = 8,378.62/x
  3. Step 3: Cross multiply
    12,358.86x = 17,048.87 × 8,378.62
  4. Step 4: Simplify right side
    12,358.86x = 142,846,003.16
  5. Step 5: Solve for x
    x = 142,846,003.16/12,358.86
  6. Step 6: Final answer
    x = 11,558.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.