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Finding the Fourth Proportional to 11,752.88, 16,219.40 and 6,447.72

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Solution

The fourth proportional to 11,752.88, 16,219.40 and 6,447.72 is: 8,898.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.88 : 16,219.40 = 6,447.72 : x
  2. Step 2: Convert to fraction form
    11,752.88/16,219.40 = 6,447.72/x
  3. Step 3: Cross multiply
    11,752.88x = 16,219.40 × 6,447.72
  4. Step 4: Simplify right side
    11,752.88x = 104,578,149.77
  5. Step 5: Solve for x
    x = 104,578,149.77/11,752.88
  6. Step 6: Final answer
    x = 8,898.09

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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.