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Finding the Fourth Proportional to 8,403.87, 11,601.99 and 5,047.50

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Solution

The fourth proportional to 8,403.87, 11,601.99 and 5,047.50 is: 6,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.87 : 11,601.99 = 5,047.50 : x
  2. Step 2: Convert to fraction form
    8,403.87/11,601.99 = 5,047.50/x
  3. Step 3: Cross multiply
    8,403.87x = 11,601.99 × 5,047.50
  4. Step 4: Simplify right side
    8,403.87x = 58,561,044.53
  5. Step 5: Solve for x
    x = 58,561,044.53/8,403.87
  6. Step 6: Final answer
    x = 6,968.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.