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Finding the Fourth Proportional to 11,516.32, 15,893.94 and 6,482.44

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Solution

The fourth proportional to 11,516.32, 15,893.94 and 6,482.44 is: 8,946.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.32 : 15,893.94 = 6,482.44 : x
  2. Step 2: Convert to fraction form
    11,516.32/15,893.94 = 6,482.44/x
  3. Step 3: Cross multiply
    11,516.32x = 15,893.94 × 6,482.44
  4. Step 4: Simplify right side
    11,516.32x = 103,031,512.41
  5. Step 5: Solve for x
    x = 103,031,512.41/11,516.32
  6. Step 6: Final answer
    x = 8,946.57

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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.