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Finding the Fourth Proportional to 7,452, 10,283.76 and 4,310.01

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Solution

The fourth proportional to 7,452, 10,283.76 and 4,310.01 is: 5,947.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452 : 10,283.76 = 4,310.01 : x
  2. Step 2: Convert to fraction form
    7,452/10,283.76 = 4,310.01/x
  3. Step 3: Cross multiply
    7,452x = 10,283.76 × 4,310.01
  4. Step 4: Simplify right side
    7,452x = 44,323,108.44
  5. Step 5: Solve for x
    x = 44,323,108.44/7,452
  6. Step 6: Final answer
    x = 5,947.81

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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.