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Finding the Fourth Proportional to 7,649.37, 11,470.48 and 2,971.55

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Solution

The fourth proportional to 7,649.37, 11,470.48 and 2,971.55 is: 4,455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.37 : 11,470.48 = 2,971.55 : x
  2. Step 2: Convert to fraction form
    7,649.37/11,470.48 = 2,971.55/x
  3. Step 3: Cross multiply
    7,649.37x = 11,470.48 × 2,971.55
  4. Step 4: Simplify right side
    7,649.37x = 34,085,126.09
  5. Step 5: Solve for x
    x = 34,085,126.09/7,649.37
  6. Step 6: Final answer
    x = 4,455.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.