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Finding the Fourth Proportional to 11,702.11, 17,511.48 and 9,377.05

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Solution

The fourth proportional to 11,702.11, 17,511.48 and 9,377.05 is: 14,032.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.11 : 17,511.48 = 9,377.05 : x
  2. Step 2: Convert to fraction form
    11,702.11/17,511.48 = 9,377.05/x
  3. Step 3: Cross multiply
    11,702.11x = 17,511.48 × 9,377.05
  4. Step 4: Simplify right side
    11,702.11x = 164,206,023.53
  5. Step 5: Solve for x
    x = 164,206,023.53/11,702.11
  6. Step 6: Final answer
    x = 14,032.17

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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.