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Finding the Fourth Proportional to 10,599.96, 15,895.89 and 5,049.06

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Solution

The fourth proportional to 10,599.96, 15,895.89 and 5,049.06 is: 7,571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.96 : 15,895.89 = 5,049.06 : x
  2. Step 2: Convert to fraction form
    10,599.96/15,895.89 = 5,049.06/x
  3. Step 3: Cross multiply
    10,599.96x = 15,895.89 × 5,049.06
  4. Step 4: Simplify right side
    10,599.96x = 80,259,302.36
  5. Step 5: Solve for x
    x = 80,259,302.36/10,599.96
  6. Step 6: Final answer
    x = 7,571.66

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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.