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Finding the Fourth Proportional to 11,000.50, 16,500.76 and 4,844.50

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Solution

The fourth proportional to 11,000.50, 16,500.76 and 4,844.50 is: 7,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.50 : 16,500.76 = 4,844.50 : x
  2. Step 2: Convert to fraction form
    11,000.50/16,500.76 = 4,844.50/x
  3. Step 3: Cross multiply
    11,000.50x = 16,500.76 × 4,844.50
  4. Step 4: Simplify right side
    11,000.50x = 79,937,931.82
  5. Step 5: Solve for x
    x = 79,937,931.82/11,000.50
  6. Step 6: Final answer
    x = 7,266.75

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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.