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Finding the Fourth Proportional to 7,347.46, 11,021 and 1,800.76

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Solution

The fourth proportional to 7,347.46, 11,021 and 1,800.76 is: 2,701.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.46 : 11,021 = 1,800.76 : x
  2. Step 2: Convert to fraction form
    7,347.46/11,021 = 1,800.76/x
  3. Step 3: Cross multiply
    7,347.46x = 11,021 × 1,800.76
  4. Step 4: Simplify right side
    7,347.46x = 19,846,175.96
  5. Step 5: Solve for x
    x = 19,846,175.96/7,347.46
  6. Step 6: Final answer
    x = 2,701.09

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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.