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Finding the Fourth Proportional to 11,332.96, 16,996.87 and 4,310.48

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Solution

The fourth proportional to 11,332.96, 16,996.87 and 4,310.48 is: 6,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.96 : 16,996.87 = 4,310.48 : x
  2. Step 2: Convert to fraction form
    11,332.96/16,996.87 = 4,310.48/x
  3. Step 3: Cross multiply
    11,332.96x = 16,996.87 × 4,310.48
  4. Step 4: Simplify right side
    11,332.96x = 73,264,668.20
  5. Step 5: Solve for x
    x = 73,264,668.20/11,332.96
  6. Step 6: Final answer
    x = 6,464.74

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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.