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Finding the Fourth Proportional to 12,723.46, 19,084.04 and 3,957.50

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Solution

The fourth proportional to 12,723.46, 19,084.04 and 3,957.50 is: 5,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.46 : 19,084.04 = 3,957.50 : x
  2. Step 2: Convert to fraction form
    12,723.46/19,084.04 = 3,957.50/x
  3. Step 3: Cross multiply
    12,723.46x = 19,084.04 × 3,957.50
  4. Step 4: Simplify right side
    12,723.46x = 75,525,088.30
  5. Step 5: Solve for x
    x = 75,525,088.30/12,723.46
  6. Step 6: Final answer
    x = 5,935.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.