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Finding the Fourth Proportional to 11,818.40, 16,309.07 and 6,513.21

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Solution

The fourth proportional to 11,818.40, 16,309.07 and 6,513.21 is: 8,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.40 : 16,309.07 = 6,513.21 : x
  2. Step 2: Convert to fraction form
    11,818.40/16,309.07 = 6,513.21/x
  3. Step 3: Cross multiply
    11,818.40x = 16,309.07 × 6,513.21
  4. Step 4: Simplify right side
    11,818.40x = 106,224,365.25
  5. Step 5: Solve for x
    x = 106,224,365.25/11,818.40
  6. Step 6: Final answer
    x = 8,988.05

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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.