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Finding the Fourth Proportional to 7,534, 11,303.37 and 3,377.50

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Solution

The fourth proportional to 7,534, 11,303.37 and 3,377.50 is: 5,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534 : 11,303.37 = 3,377.50 : x
  2. Step 2: Convert to fraction form
    7,534/11,303.37 = 3,377.50/x
  3. Step 3: Cross multiply
    7,534x = 11,303.37 × 3,377.50
  4. Step 4: Simplify right side
    7,534x = 38,177,132.18
  5. Step 5: Solve for x
    x = 38,177,132.18/7,534
  6. Step 6: Final answer
    x = 5,067.31

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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.