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Finding the Fourth Proportional to 27,340.85, 41,011.26 and 6,564.35

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Solution

The fourth proportional to 27,340.85, 41,011.26 and 6,564.35 is: 9,846.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,340.85 : 41,011.26 = 6,564.35 : x
  2. Step 2: Convert to fraction form
    27,340.85/41,011.26 = 6,564.35/x
  3. Step 3: Cross multiply
    27,340.85x = 41,011.26 × 6,564.35
  4. Step 4: Simplify right side
    27,340.85x = 269,212,264.58
  5. Step 5: Solve for x
    x = 269,212,264.58/27,340.85
  6. Step 6: Final answer
    x = 9,846.52

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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.