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Finding the Fourth Proportional to 11,751, 16,216.09 and 6,445.77

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Solution

The fourth proportional to 11,751, 16,216.09 and 6,445.77 is: 8,895.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751 : 16,216.09 = 6,445.77 : x
  2. Step 2: Convert to fraction form
    11,751/16,216.09 = 6,445.77/x
  3. Step 3: Cross multiply
    11,751x = 16,216.09 × 6,445.77
  4. Step 4: Simplify right side
    11,751x = 104,525,186.44
  5. Step 5: Solve for x
    x = 104,525,186.44/11,751
  6. Step 6: Final answer
    x = 8,895.00

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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.