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Finding the Fourth Proportional to 11,813.85, 16,303.16 and 6,508.55

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Solution

The fourth proportional to 11,813.85, 16,303.16 and 6,508.55 is: 8,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.85 : 16,303.16 = 6,508.55 : x
  2. Step 2: Convert to fraction form
    11,813.85/16,303.16 = 6,508.55/x
  3. Step 3: Cross multiply
    11,813.85x = 16,303.16 × 6,508.55
  4. Step 4: Simplify right side
    11,813.85x = 106,109,817.96
  5. Step 5: Solve for x
    x = 106,109,817.96/11,813.85
  6. Step 6: Final answer
    x = 8,981.82

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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.