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Finding the Fourth Proportional to 7,677.49, 11,508.94 and 3,000.50

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Solution

The fourth proportional to 7,677.49, 11,508.94 and 3,000.50 is: 4,497.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.49 : 11,508.94 = 3,000.50 : x
  2. Step 2: Convert to fraction form
    7,677.49/11,508.94 = 3,000.50/x
  3. Step 3: Cross multiply
    7,677.49x = 11,508.94 × 3,000.50
  4. Step 4: Simplify right side
    7,677.49x = 34,532,522.24
  5. Step 5: Solve for x
    x = 34,532,522.24/7,677.49
  6. Step 6: Final answer
    x = 4,497.89

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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.