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Finding the Fourth Proportional to 11,333.26, 15,641 and 6,553.40

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Solution

The fourth proportional to 11,333.26, 15,641 and 6,553.40 is: 9,044.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333.26 : 15,641 = 6,553.40 : x
  2. Step 2: Convert to fraction form
    11,333.26/15,641 = 6,553.40/x
  3. Step 3: Cross multiply
    11,333.26x = 15,641 × 6,553.40
  4. Step 4: Simplify right side
    11,333.26x = 102,501,729.40
  5. Step 5: Solve for x
    x = 102,501,729.40/11,333.26
  6. Step 6: Final answer
    x = 9,044.33

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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.