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Finding the Fourth Proportional to 7,414.94, 11,135.13 and 6,583.88

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Solution

The fourth proportional to 7,414.94, 11,135.13 and 6,583.88 is: 9,887.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.94 : 11,135.13 = 6,583.88 : x
  2. Step 2: Convert to fraction form
    7,414.94/11,135.13 = 6,583.88/x
  3. Step 3: Cross multiply
    7,414.94x = 11,135.13 × 6,583.88
  4. Step 4: Simplify right side
    7,414.94x = 73,312,359.70
  5. Step 5: Solve for x
    x = 73,312,359.70/7,414.94
  6. Step 6: Final answer
    x = 9,887.11

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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.