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Finding the Fourth Proportional to 11,627.20, 17,448 and 4,701.76

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Solution

The fourth proportional to 11,627.20, 17,448 and 4,701.76 is: 7,055.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.20 : 17,448 = 4,701.76 : x
  2. Step 2: Convert to fraction form
    11,627.20/17,448 = 4,701.76/x
  3. Step 3: Cross multiply
    11,627.20x = 17,448 × 4,701.76
  4. Step 4: Simplify right side
    11,627.20x = 82,036,308.48
  5. Step 5: Solve for x
    x = 82,036,308.48/11,627.20
  6. Step 6: Final answer
    x = 7,055.55

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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.