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Finding the Fourth Proportional to 7,475.50, 11,214.18 and 2,544.76

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Solution

The fourth proportional to 7,475.50, 11,214.18 and 2,544.76 is: 3,817.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.50 : 11,214.18 = 2,544.76 : x
  2. Step 2: Convert to fraction form
    7,475.50/11,214.18 = 2,544.76/x
  3. Step 3: Cross multiply
    7,475.50x = 11,214.18 × 2,544.76
  4. Step 4: Simplify right side
    7,475.50x = 28,537,396.70
  5. Step 5: Solve for x
    x = 28,537,396.70/7,475.50
  6. Step 6: Final answer
    x = 3,817.46

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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.