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Finding the Fourth Proportional to 11,680.16, 16,118.98 and 6,375.32

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Solution

The fourth proportional to 11,680.16, 16,118.98 and 6,375.32 is: 8,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.16 : 16,118.98 = 6,375.32 : x
  2. Step 2: Convert to fraction form
    11,680.16/16,118.98 = 6,375.32/x
  3. Step 3: Cross multiply
    11,680.16x = 16,118.98 × 6,375.32
  4. Step 4: Simplify right side
    11,680.16x = 102,763,655.57
  5. Step 5: Solve for x
    x = 102,763,655.57/11,680.16
  6. Step 6: Final answer
    x = 8,798.14

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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.