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Finding the Fourth Proportional to 10,564.72, 15,846.16 and 6,403.49

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Solution

The fourth proportional to 10,564.72, 15,846.16 and 6,403.49 is: 9,604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.72 : 15,846.16 = 6,403.49 : x
  2. Step 2: Convert to fraction form
    10,564.72/15,846.16 = 6,403.49/x
  3. Step 3: Cross multiply
    10,564.72x = 15,846.16 × 6,403.49
  4. Step 4: Simplify right side
    10,564.72x = 101,470,727.10
  5. Step 5: Solve for x
    x = 101,470,727.10/10,564.72
  6. Step 6: Final answer
    x = 9,604.68

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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.