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Finding the Fourth Proportional to 8,490.94, 11,715.69 and 5,133.09

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Solution

The fourth proportional to 8,490.94, 11,715.69 and 5,133.09 is: 7,082.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.94 : 11,715.69 = 5,133.09 : x
  2. Step 2: Convert to fraction form
    8,490.94/11,715.69 = 5,133.09/x
  3. Step 3: Cross multiply
    8,490.94x = 11,715.69 × 5,133.09
  4. Step 4: Simplify right side
    8,490.94x = 60,137,691.18
  5. Step 5: Solve for x
    x = 60,137,691.18/8,490.94
  6. Step 6: Final answer
    x = 7,082.57

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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.