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Finding the Fourth Proportional to 11,818.80, 16,309.98 and 6,513.50

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Solution

The fourth proportional to 11,818.80, 16,309.98 and 6,513.50 is: 8,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.80 : 16,309.98 = 6,513.50 : x
  2. Step 2: Convert to fraction form
    11,818.80/16,309.98 = 6,513.50/x
  3. Step 3: Cross multiply
    11,818.80x = 16,309.98 × 6,513.50
  4. Step 4: Simplify right side
    11,818.80x = 106,234,973.18
  5. Step 5: Solve for x
    x = 106,234,973.18/11,818.80
  6. Step 6: Final answer
    x = 8,988.64

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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.