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Finding the Fourth Proportional to 11,551.91, 15,941.54 and 6,516.17

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Solution

The fourth proportional to 11,551.91, 15,941.54 and 6,516.17 is: 8,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551.91 : 15,941.54 = 6,516.17 : x
  2. Step 2: Convert to fraction form
    11,551.91/15,941.54 = 6,516.17/x
  3. Step 3: Cross multiply
    11,551.91x = 15,941.54 × 6,516.17
  4. Step 4: Simplify right side
    11,551.91x = 103,877,672.41
  5. Step 5: Solve for x
    x = 103,877,672.41/11,551.91
  6. Step 6: Final answer
    x = 8,992.25

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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.