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Finding the Fourth Proportional to 11,551.97, 15,941.34 and 6,516.32

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Solution

The fourth proportional to 11,551.97, 15,941.34 and 6,516.32 is: 8,992.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551.97 : 15,941.34 = 6,516.32 : x
  2. Step 2: Convert to fraction form
    11,551.97/15,941.34 = 6,516.32/x
  3. Step 3: Cross multiply
    11,551.97x = 15,941.34 × 6,516.32
  4. Step 4: Simplify right side
    11,551.97x = 103,878,872.67
  5. Step 5: Solve for x
    x = 103,878,872.67/11,551.97
  6. Step 6: Final answer
    x = 8,992.31

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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.