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Finding the Fourth Proportional to 10,399.99, 15,599.97 and 2,502.50

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Solution

The fourth proportional to 10,399.99, 15,599.97 and 2,502.50 is: 3,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399.99 : 15,599.97 = 2,502.50 : x
  2. Step 2: Convert to fraction form
    10,399.99/15,599.97 = 2,502.50/x
  3. Step 3: Cross multiply
    10,399.99x = 15,599.97 × 2,502.50
  4. Step 4: Simplify right side
    10,399.99x = 39,038,912.41
  5. Step 5: Solve for x
    x = 39,038,912.41/10,399.99
  6. Step 6: Final answer
    x = 3,753.75

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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.