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Finding the Fourth Proportional to 11,813.55, 16,302.74 and 6,508.35

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Solution

The fourth proportional to 11,813.55, 16,302.74 and 6,508.35 is: 8,981.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.55 : 16,302.74 = 6,508.35 : x
  2. Step 2: Convert to fraction form
    11,813.55/16,302.74 = 6,508.35/x
  3. Step 3: Cross multiply
    11,813.55x = 16,302.74 × 6,508.35
  4. Step 4: Simplify right side
    11,813.55x = 106,103,905.34
  5. Step 5: Solve for x
    x = 106,103,905.34/11,813.55
  6. Step 6: Final answer
    x = 8,981.55

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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.