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Finding the Fourth Proportional to 11,678.64, 16,116.63 and 6,373.54

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Solution

The fourth proportional to 11,678.64, 16,116.63 and 6,373.54 is: 8,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.64 : 16,116.63 = 6,373.54 : x
  2. Step 2: Convert to fraction form
    11,678.64/16,116.63 = 6,373.54/x
  3. Step 3: Cross multiply
    11,678.64x = 16,116.63 × 6,373.54
  4. Step 4: Simplify right side
    11,678.64x = 102,719,985.97
  5. Step 5: Solve for x
    x = 102,719,985.97/11,678.64
  6. Step 6: Final answer
    x = 8,795.54

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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.