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Finding the Fourth Proportional to 11,885.77, 16,402.61 and 6,508.43

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Solution

The fourth proportional to 11,885.77, 16,402.61 and 6,508.43 is: 8,981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.77 : 16,402.61 = 6,508.43 : x
  2. Step 2: Convert to fraction form
    11,885.77/16,402.61 = 6,508.43/x
  3. Step 3: Cross multiply
    11,885.77x = 16,402.61 × 6,508.43
  4. Step 4: Simplify right side
    11,885.77x = 106,755,198.16
  5. Step 5: Solve for x
    x = 106,755,198.16/11,885.77
  6. Step 6: Final answer
    x = 8,981.77

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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.