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Finding the Fourth Proportional to 7,732.86, 10,670.76 and 4,546.29

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Solution

The fourth proportional to 7,732.86, 10,670.76 and 4,546.29 is: 6,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.86 : 10,670.76 = 4,546.29 : x
  2. Step 2: Convert to fraction form
    7,732.86/10,670.76 = 4,546.29/x
  3. Step 3: Cross multiply
    7,732.86x = 10,670.76 × 4,546.29
  4. Step 4: Simplify right side
    7,732.86x = 48,512,362.26
  5. Step 5: Solve for x
    x = 48,512,362.26/7,732.86
  6. Step 6: Final answer
    x = 6,273.53

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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.