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Finding the Fourth Proportional to 11,678.64, 16,116.30 and 6,373.44

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Solution

The fourth proportional to 11,678.64, 16,116.30 and 6,373.44 is: 8,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.64 : 16,116.30 = 6,373.44 : x
  2. Step 2: Convert to fraction form
    11,678.64/16,116.30 = 6,373.44/x
  3. Step 3: Cross multiply
    11,678.64x = 16,116.30 × 6,373.44
  4. Step 4: Simplify right side
    11,678.64x = 102,716,271.07
  5. Step 5: Solve for x
    x = 102,716,271.07/11,678.64
  6. Step 6: Final answer
    x = 8,795.23

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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.