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Finding the Fourth Proportional to 10,606.20, 15,876.63 and 7,639.98

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Solution

The fourth proportional to 10,606.20, 15,876.63 and 7,639.98 is: 11,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.20 : 15,876.63 = 7,639.98 : x
  2. Step 2: Convert to fraction form
    10,606.20/15,876.63 = 7,639.98/x
  3. Step 3: Cross multiply
    10,606.20x = 15,876.63 × 7,639.98
  4. Step 4: Simplify right side
    10,606.20x = 121,297,135.67
  5. Step 5: Solve for x
    x = 121,297,135.67/10,606.20
  6. Step 6: Final answer
    x = 11,436.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.