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Finding the Fourth Proportional to 27,809.95, 41,714.56 and 6,750.16

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Solution

The fourth proportional to 27,809.95, 41,714.56 and 6,750.16 is: 10,125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.95 : 41,714.56 = 6,750.16 : x
  2. Step 2: Convert to fraction form
    27,809.95/41,714.56 = 6,750.16/x
  3. Step 3: Cross multiply
    27,809.95x = 41,714.56 × 6,750.16
  4. Step 4: Simplify right side
    27,809.95x = 281,579,954.33
  5. Step 5: Solve for x
    x = 281,579,954.33/27,809.95
  6. Step 6: Final answer
    x = 10,125.15

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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.