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Finding the Fourth Proportional to 11,452.44, 15,797.58 and 7,253.40

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Solution

The fourth proportional to 11,452.44, 15,797.58 and 7,253.40 is: 10,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.44 : 15,797.58 = 7,253.40 : x
  2. Step 2: Convert to fraction form
    11,452.44/15,797.58 = 7,253.40/x
  3. Step 3: Cross multiply
    11,452.44x = 15,797.58 × 7,253.40
  4. Step 4: Simplify right side
    11,452.44x = 114,586,166.77
  5. Step 5: Solve for x
    x = 114,586,166.77/11,452.44
  6. Step 6: Final answer
    x = 10,005.39

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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.