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Finding the Fourth Proportional to 7,495.76, 11,237.52 and 5,150

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Solution

The fourth proportional to 7,495.76, 11,237.52 and 5,150 is: 7,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,495.76 : 11,237.52 = 5,150 : x
  2. Step 2: Convert to fraction form
    7,495.76/11,237.52 = 5,150/x
  3. Step 3: Cross multiply
    7,495.76x = 11,237.52 × 5,150
  4. Step 4: Simplify right side
    7,495.76x = 57,873,228
  5. Step 5: Solve for x
    x = 57,873,228/7,495.76
  6. Step 6: Final answer
    x = 7,720.80

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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.