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Finding the Fourth Proportional to 11,752.76, 16,218.66 and 6,447.64

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Solution

The fourth proportional to 11,752.76, 16,218.66 and 6,447.64 is: 8,897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.76 : 16,218.66 = 6,447.64 : x
  2. Step 2: Convert to fraction form
    11,752.76/16,218.66 = 6,447.64/x
  3. Step 3: Cross multiply
    11,752.76x = 16,218.66 × 6,447.64
  4. Step 4: Simplify right side
    11,752.76x = 104,572,080.96
  5. Step 5: Solve for x
    x = 104,572,080.96/11,752.76
  6. Step 6: Final answer
    x = 8,897.66

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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.