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Finding the Fourth Proportional to 10,908.48, 16,364.16 and 3,980.64

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Solution

The fourth proportional to 10,908.48, 16,364.16 and 3,980.64 is: 5,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908.48 : 16,364.16 = 3,980.64 : x
  2. Step 2: Convert to fraction form
    10,908.48/16,364.16 = 3,980.64/x
  3. Step 3: Cross multiply
    10,908.48x = 16,364.16 × 3,980.64
  4. Step 4: Simplify right side
    10,908.48x = 65,139,829.86
  5. Step 5: Solve for x
    x = 65,139,829.86/10,908.48
  6. Step 6: Final answer
    x = 5,971.49

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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.