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Finding the Fourth Proportional to 27,530.64, 41,295.95 and 7,809.36

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Solution

The fourth proportional to 27,530.64, 41,295.95 and 7,809.36 is: 11,714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,530.64 : 41,295.95 = 7,809.36 : x
  2. Step 2: Convert to fraction form
    27,530.64/41,295.95 = 7,809.36/x
  3. Step 3: Cross multiply
    27,530.64x = 41,295.95 × 7,809.36
  4. Step 4: Simplify right side
    27,530.64x = 322,494,901.05
  5. Step 5: Solve for x
    x = 322,494,901.05/27,530.64
  6. Step 6: Final answer
    x = 11,714.04

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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.