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Finding the Fourth Proportional to 10,647.34, 15,972.93 and 4,403.96

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Solution

The fourth proportional to 10,647.34, 15,972.93 and 4,403.96 is: 6,606.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.34 : 15,972.93 = 4,403.96 : x
  2. Step 2: Convert to fraction form
    10,647.34/15,972.93 = 4,403.96/x
  3. Step 3: Cross multiply
    10,647.34x = 15,972.93 × 4,403.96
  4. Step 4: Simplify right side
    10,647.34x = 70,344,042.92
  5. Step 5: Solve for x
    x = 70,344,042.92/10,647.34
  6. Step 6: Final answer
    x = 6,606.73

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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.