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Finding the Fourth Proportional to 10,632.50, 15,954.63 and 4,391.06

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Solution

The fourth proportional to 10,632.50, 15,954.63 and 4,391.06 is: 6,589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.50 : 15,954.63 = 4,391.06 : x
  2. Step 2: Convert to fraction form
    10,632.50/15,954.63 = 4,391.06/x
  3. Step 3: Cross multiply
    10,632.50x = 15,954.63 × 4,391.06
  4. Step 4: Simplify right side
    10,632.50x = 70,057,761.03
  5. Step 5: Solve for x
    x = 70,057,761.03/10,632.50
  6. Step 6: Final answer
    x = 6,589.02

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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.