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Finding the Fourth Proportional to 7,624.04, 11,437.50 and 3,241.48

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Solution

The fourth proportional to 7,624.04, 11,437.50 and 3,241.48 is: 4,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.04 : 11,437.50 = 3,241.48 : x
  2. Step 2: Convert to fraction form
    7,624.04/11,437.50 = 3,241.48/x
  3. Step 3: Cross multiply
    7,624.04x = 11,437.50 × 3,241.48
  4. Step 4: Simplify right side
    7,624.04x = 37,074,427.50
  5. Step 5: Solve for x
    x = 37,074,427.50/7,624.04
  6. Step 6: Final answer
    x = 4,862.83

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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.