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Finding the Fourth Proportional to 11,696.32, 16,151.70 and 7,511.86

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Solution

The fourth proportional to 11,696.32, 16,151.70 and 7,511.86 is: 10,373.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.32 : 16,151.70 = 7,511.86 : x
  2. Step 2: Convert to fraction form
    11,696.32/16,151.70 = 7,511.86/x
  3. Step 3: Cross multiply
    11,696.32x = 16,151.70 × 7,511.86
  4. Step 4: Simplify right side
    11,696.32x = 121,329,309.16
  5. Step 5: Solve for x
    x = 121,329,309.16/11,696.32
  6. Step 6: Final answer
    x = 10,373.29

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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.