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Finding the Fourth Proportional to 7,624.96, 11,432.48 and 5,020

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Solution

The fourth proportional to 7,624.96, 11,432.48 and 5,020 is: 7,526.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.96 : 11,432.48 = 5,020 : x
  2. Step 2: Convert to fraction form
    7,624.96/11,432.48 = 5,020/x
  3. Step 3: Cross multiply
    7,624.96x = 11,432.48 × 5,020
  4. Step 4: Simplify right side
    7,624.96x = 57,391,049.60
  5. Step 5: Solve for x
    x = 57,391,049.60/7,624.96
  6. Step 6: Final answer
    x = 7,526.73

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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.