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Finding the Fourth Proportional to 7,362.84, 11,045.92 and 2,433

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Solution

The fourth proportional to 7,362.84, 11,045.92 and 2,433 is: 3,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.84 : 11,045.92 = 2,433 : x
  2. Step 2: Convert to fraction form
    7,362.84/11,045.92 = 2,433/x
  3. Step 3: Cross multiply
    7,362.84x = 11,045.92 × 2,433
  4. Step 4: Simplify right side
    7,362.84x = 26,874,723.36
  5. Step 5: Solve for x
    x = 26,874,723.36/7,362.84
  6. Step 6: Final answer
    x = 3,650.05

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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.