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Finding the Fourth Proportional to 7,161.96, 10,746.78 and 3,057

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Solution

The fourth proportional to 7,161.96, 10,746.78 and 3,057 is: 4,587.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.96 : 10,746.78 = 3,057 : x
  2. Step 2: Convert to fraction form
    7,161.96/10,746.78 = 3,057/x
  3. Step 3: Cross multiply
    7,161.96x = 10,746.78 × 3,057
  4. Step 4: Simplify right side
    7,161.96x = 32,852,906.46
  5. Step 5: Solve for x
    x = 32,852,906.46/7,161.96
  6. Step 6: Final answer
    x = 4,587.14

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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.