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Finding the Fourth Proportional to 8,040.50, 11,097.81 and 4,730.42

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Solution

The fourth proportional to 8,040.50, 11,097.81 and 4,730.42 is: 6,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,040.50 : 11,097.81 = 4,730.42 : x
  2. Step 2: Convert to fraction form
    8,040.50/11,097.81 = 4,730.42/x
  3. Step 3: Cross multiply
    8,040.50x = 11,097.81 × 4,730.42
  4. Step 4: Simplify right side
    8,040.50x = 52,497,302.38
  5. Step 5: Solve for x
    x = 52,497,302.38/8,040.50
  6. Step 6: Final answer
    x = 6,529.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.