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Finding the Fourth Proportional to 7,271.69, 10,034.67 and 4,443.80

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Solution

The fourth proportional to 7,271.69, 10,034.67 and 4,443.80 is: 6,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.69 : 10,034.67 = 4,443.80 : x
  2. Step 2: Convert to fraction form
    7,271.69/10,034.67 = 4,443.80/x
  3. Step 3: Cross multiply
    7,271.69x = 10,034.67 × 4,443.80
  4. Step 4: Simplify right side
    7,271.69x = 44,592,048.45
  5. Step 5: Solve for x
    x = 44,592,048.45/7,271.69
  6. Step 6: Final answer
    x = 6,132.28

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