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Finding the Fourth Proportional to 11,632.66, 17,446.34 and 3,312.50

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Solution

The fourth proportional to 11,632.66, 17,446.34 and 3,312.50 is: 4,967.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.66 : 17,446.34 = 3,312.50 : x
  2. Step 2: Convert to fraction form
    11,632.66/17,446.34 = 3,312.50/x
  3. Step 3: Cross multiply
    11,632.66x = 17,446.34 × 3,312.50
  4. Step 4: Simplify right side
    11,632.66x = 57,790,903.67
  5. Step 5: Solve for x
    x = 57,790,903.67/11,632.66
  6. Step 6: Final answer
    x = 4,967.99

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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.