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Finding the Fourth Proportional to 7,290.81, 10,060.38 and 4,147.06

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Solution

The fourth proportional to 7,290.81, 10,060.38 and 4,147.06 is: 5,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.81 : 10,060.38 = 4,147.06 : x
  2. Step 2: Convert to fraction form
    7,290.81/10,060.38 = 4,147.06/x
  3. Step 3: Cross multiply
    7,290.81x = 10,060.38 × 4,147.06
  4. Step 4: Simplify right side
    7,290.81x = 41,720,999.48
  5. Step 5: Solve for x
    x = 41,720,999.48/7,290.81
  6. Step 6: Final answer
    x = 5,722.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.