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Finding the Fourth Proportional to 7,696.76, 11,544.98 and 2,502.63

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Solution

The fourth proportional to 7,696.76, 11,544.98 and 2,502.63 is: 3,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.76 : 11,544.98 = 2,502.63 : x
  2. Step 2: Convert to fraction form
    7,696.76/11,544.98 = 2,502.63/x
  3. Step 3: Cross multiply
    7,696.76x = 11,544.98 × 2,502.63
  4. Step 4: Simplify right side
    7,696.76x = 28,892,800.78
  5. Step 5: Solve for x
    x = 28,892,800.78/7,696.76
  6. Step 6: Final answer
    x = 3,753.89

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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.