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Finding the Fourth Proportional to 7,286.03, 10,926.72 and 2,354.50

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Solution

The fourth proportional to 7,286.03, 10,926.72 and 2,354.50 is: 3,531.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.03 : 10,926.72 = 2,354.50 : x
  2. Step 2: Convert to fraction form
    7,286.03/10,926.72 = 2,354.50/x
  3. Step 3: Cross multiply
    7,286.03x = 10,926.72 × 2,354.50
  4. Step 4: Simplify right side
    7,286.03x = 25,726,934.92
  5. Step 5: Solve for x
    x = 25,726,934.92/7,286.03
  6. Step 6: Final answer
    x = 3,531.00

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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.