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Finding the Fourth Proportional to 7,696.71, 11,546.51 and 2,501.91

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Solution

The fourth proportional to 7,696.71, 11,546.51 and 2,501.91 is: 3,753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.71 : 11,546.51 = 2,501.91 : x
  2. Step 2: Convert to fraction form
    7,696.71/11,546.51 = 2,501.91/x
  3. Step 3: Cross multiply
    7,696.71x = 11,546.51 × 2,501.91
  4. Step 4: Simplify right side
    7,696.71x = 28,888,316.32
  5. Step 5: Solve for x
    x = 28,888,316.32/7,696.71
  6. Step 6: Final answer
    x = 3,753.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.