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Finding the Fourth Proportional to 7,230.56, 10,846 and 2,554.08

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Solution

The fourth proportional to 7,230.56, 10,846 and 2,554.08 is: 3,831.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.56 : 10,846 = 2,554.08 : x
  2. Step 2: Convert to fraction form
    7,230.56/10,846 = 2,554.08/x
  3. Step 3: Cross multiply
    7,230.56x = 10,846 × 2,554.08
  4. Step 4: Simplify right side
    7,230.56x = 27,701,551.68
  5. Step 5: Solve for x
    x = 27,701,551.68/7,230.56
  6. Step 6: Final answer
    x = 3,831.18

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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.