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Finding the Fourth Proportional to 7,018.68, 10,528.06 and 1,824.56

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Solution

The fourth proportional to 7,018.68, 10,528.06 and 1,824.56 is: 2,736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.68 : 10,528.06 = 1,824.56 : x
  2. Step 2: Convert to fraction form
    7,018.68/10,528.06 = 1,824.56/x
  3. Step 3: Cross multiply
    7,018.68x = 10,528.06 × 1,824.56
  4. Step 4: Simplify right side
    7,018.68x = 19,209,077.15
  5. Step 5: Solve for x
    x = 19,209,077.15/7,018.68
  6. Step 6: Final answer
    x = 2,736.85

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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.