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Finding the Fourth Proportional to 27,812.95, 41,719.06 and 6,753.16

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Solution

The fourth proportional to 27,812.95, 41,719.06 and 6,753.16 is: 10,129.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,812.95 : 41,719.06 = 6,753.16 : x
  2. Step 2: Convert to fraction form
    27,812.95/41,719.06 = 6,753.16/x
  3. Step 3: Cross multiply
    27,812.95x = 41,719.06 × 6,753.16
  4. Step 4: Simplify right side
    27,812.95x = 281,735,487.23
  5. Step 5: Solve for x
    x = 281,735,487.23/27,812.95
  6. Step 6: Final answer
    x = 10,129.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.