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Finding the Fourth Proportional to 11,279.73, 15,566.01 and 6,564

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Solution

The fourth proportional to 11,279.73, 15,566.01 and 6,564 is: 9,058.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,279.73 : 15,566.01 = 6,564 : x
  2. Step 2: Convert to fraction form
    11,279.73/15,566.01 = 6,564/x
  3. Step 3: Cross multiply
    11,279.73x = 15,566.01 × 6,564
  4. Step 4: Simplify right side
    11,279.73x = 102,175,289.64
  5. Step 5: Solve for x
    x = 102,175,289.64/11,279.73
  6. Step 6: Final answer
    x = 9,058.31

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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.