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Finding the Fourth Proportional to 11,752.83, 16,219.64 and 6,447.66

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Solution

The fourth proportional to 11,752.83, 16,219.64 and 6,447.66 is: 8,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.83 : 16,219.64 = 6,447.66 : x
  2. Step 2: Convert to fraction form
    11,752.83/16,219.64 = 6,447.66/x
  3. Step 3: Cross multiply
    11,752.83x = 16,219.64 × 6,447.66
  4. Step 4: Simplify right side
    11,752.83x = 104,578,724.04
  5. Step 5: Solve for x
    x = 104,578,724.04/11,752.83
  6. Step 6: Final answer
    x = 8,898.17

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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.