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Finding the Fourth Proportional to 7,511.66, 11,264.61 and 2,580.38

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Solution

The fourth proportional to 7,511.66, 11,264.61 and 2,580.38 is: 3,869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.66 : 11,264.61 = 2,580.38 : x
  2. Step 2: Convert to fraction form
    7,511.66/11,264.61 = 2,580.38/x
  3. Step 3: Cross multiply
    7,511.66x = 11,264.61 × 2,580.38
  4. Step 4: Simplify right side
    7,511.66x = 29,066,974.35
  5. Step 5: Solve for x
    x = 29,066,974.35/7,511.66
  6. Step 6: Final answer
    x = 3,869.58

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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.