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Finding the Fourth Proportional to 11,513.79, 15,889.10 and 6,800.40

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Solution

The fourth proportional to 11,513.79, 15,889.10 and 6,800.40 is: 9,384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.79 : 15,889.10 = 6,800.40 : x
  2. Step 2: Convert to fraction form
    11,513.79/15,889.10 = 6,800.40/x
  3. Step 3: Cross multiply
    11,513.79x = 15,889.10 × 6,800.40
  4. Step 4: Simplify right side
    11,513.79x = 108,052,201.64
  5. Step 5: Solve for x
    x = 108,052,201.64/11,513.79
  6. Step 6: Final answer
    x = 9,384.59

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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.