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Finding the Fourth Proportional to 10,399.49, 15,599.22 and 2,502

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Solution

The fourth proportional to 10,399.49, 15,599.22 and 2,502 is: 3,753.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399.49 : 15,599.22 = 2,502 : x
  2. Step 2: Convert to fraction form
    10,399.49/15,599.22 = 2,502/x
  3. Step 3: Cross multiply
    10,399.49x = 15,599.22 × 2,502
  4. Step 4: Simplify right side
    10,399.49x = 39,029,235.93
  5. Step 5: Solve for x
    x = 39,029,235.93/10,399.49
  6. Step 6: Final answer
    x = 3,753.00

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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.