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Finding the Fourth Proportional to 7,666.98, 11,503.71 and 3,286.50

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Solution

The fourth proportional to 7,666.98, 11,503.71 and 3,286.50 is: 4,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.98 : 11,503.71 = 3,286.50 : x
  2. Step 2: Convert to fraction form
    7,666.98/11,503.71 = 3,286.50/x
  3. Step 3: Cross multiply
    7,666.98x = 11,503.71 × 3,286.50
  4. Step 4: Simplify right side
    7,666.98x = 37,806,942.92
  5. Step 5: Solve for x
    x = 37,806,942.92/7,666.98
  6. Step 6: Final answer
    x = 4,931.14

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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.