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Finding the Fourth Proportional to 7,404.75, 10,218.56 and 4,611.87

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Solution

The fourth proportional to 7,404.75, 10,218.56 and 4,611.87 is: 6,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404.75 : 10,218.56 = 4,611.87 : x
  2. Step 2: Convert to fraction form
    7,404.75/10,218.56 = 4,611.87/x
  3. Step 3: Cross multiply
    7,404.75x = 10,218.56 × 4,611.87
  4. Step 4: Simplify right side
    7,404.75x = 47,126,647.25
  5. Step 5: Solve for x
    x = 47,126,647.25/7,404.75
  6. Step 6: Final answer
    x = 6,364.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.