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Finding the Fourth Proportional to 7,500.81, 11,250 and 3,339.84

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Solution

The fourth proportional to 7,500.81, 11,250 and 3,339.84 is: 5,009.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,500.81 : 11,250 = 3,339.84 : x
  2. Step 2: Convert to fraction form
    7,500.81/11,250 = 3,339.84/x
  3. Step 3: Cross multiply
    7,500.81x = 11,250 × 3,339.84
  4. Step 4: Simplify right side
    7,500.81x = 37,573,200
  5. Step 5: Solve for x
    x = 37,573,200/7,500.81
  6. Step 6: Final answer
    x = 5,009.22

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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.