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Finding the Fourth Proportional to 5,011.50, 7,517.26 and 1,363.50

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Solution

The fourth proportional to 5,011.50, 7,517.26 and 1,363.50 is: 2,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,011.50 : 7,517.26 = 1,363.50 : x
  2. Step 2: Convert to fraction form
    5,011.50/7,517.26 = 1,363.50/x
  3. Step 3: Cross multiply
    5,011.50x = 7,517.26 × 1,363.50
  4. Step 4: Simplify right side
    5,011.50x = 10,249,784.01
  5. Step 5: Solve for x
    x = 10,249,784.01/5,011.50
  6. Step 6: Final answer
    x = 2,045.25

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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.