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Finding the Fourth Proportional to 7,963.41, 11,928.69 and 4,666.50

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Solution

The fourth proportional to 7,963.41, 11,928.69 and 4,666.50 is: 6,990.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.41 : 11,928.69 = 4,666.50 : x
  2. Step 2: Convert to fraction form
    7,963.41/11,928.69 = 4,666.50/x
  3. Step 3: Cross multiply
    7,963.41x = 11,928.69 × 4,666.50
  4. Step 4: Simplify right side
    7,963.41x = 55,665,231.89
  5. Step 5: Solve for x
    x = 55,665,231.89/7,963.41
  6. Step 6: Final answer
    x = 6,990.13

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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.