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Finding the Fourth Proportional to 7,154.13, 10,731.80 and 1,960

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Solution

The fourth proportional to 7,154.13, 10,731.80 and 1,960 is: 2,940.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.13 : 10,731.80 = 1,960 : x
  2. Step 2: Convert to fraction form
    7,154.13/10,731.80 = 1,960/x
  3. Step 3: Cross multiply
    7,154.13x = 10,731.80 × 1,960
  4. Step 4: Simplify right side
    7,154.13x = 21,034,328
  5. Step 5: Solve for x
    x = 21,034,328/7,154.13
  6. Step 6: Final answer
    x = 2,940.17

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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.