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Finding the Fourth Proportional to 7,912.50, 11,860.98 and 4,404.20

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Solution

The fourth proportional to 7,912.50, 11,860.98 and 4,404.20 is: 6,601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.50 : 11,860.98 = 4,404.20 : x
  2. Step 2: Convert to fraction form
    7,912.50/11,860.98 = 4,404.20/x
  3. Step 3: Cross multiply
    7,912.50x = 11,860.98 × 4,404.20
  4. Step 4: Simplify right side
    7,912.50x = 52,238,068.81
  5. Step 5: Solve for x
    x = 52,238,068.81/7,912.50
  6. Step 6: Final answer
    x = 6,601.97

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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.