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Finding the Fourth Proportional to 7,158.50, 10,737.75 and 1,964.38

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Solution

The fourth proportional to 7,158.50, 10,737.75 and 1,964.38 is: 2,946.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.50 : 10,737.75 = 1,964.38 : x
  2. Step 2: Convert to fraction form
    7,158.50/10,737.75 = 1,964.38/x
  3. Step 3: Cross multiply
    7,158.50x = 10,737.75 × 1,964.38
  4. Step 4: Simplify right side
    7,158.50x = 21,092,967.66
  5. Step 5: Solve for x
    x = 21,092,967.66/7,158.50
  6. Step 6: Final answer
    x = 2,946.56

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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.