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Finding the Fourth Proportional to 7,475.53, 11,212.89 and 2,281

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Solution

The fourth proportional to 7,475.53, 11,212.89 and 2,281 is: 3,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.53 : 11,212.89 = 2,281 : x
  2. Step 2: Convert to fraction form
    7,475.53/11,212.89 = 2,281/x
  3. Step 3: Cross multiply
    7,475.53x = 11,212.89 × 2,281
  4. Step 4: Simplify right side
    7,475.53x = 25,576,602.09
  5. Step 5: Solve for x
    x = 25,576,602.09/7,475.53
  6. Step 6: Final answer
    x = 3,421.38

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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.