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Finding the Fourth Proportional to 7,511.08, 11,266.98 and 2,317

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Solution

The fourth proportional to 7,511.08, 11,266.98 and 2,317 is: 3,475.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.08 : 11,266.98 = 2,317 : x
  2. Step 2: Convert to fraction form
    7,511.08/11,266.98 = 2,317/x
  3. Step 3: Cross multiply
    7,511.08x = 11,266.98 × 2,317
  4. Step 4: Simplify right side
    7,511.08x = 26,105,592.66
  5. Step 5: Solve for x
    x = 26,105,592.66/7,511.08
  6. Step 6: Final answer
    x = 3,475.61

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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.