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Finding the Fourth Proportional to 7,945.82, 10,968.84 and 5,432

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Solution

The fourth proportional to 7,945.82, 10,968.84 and 5,432 is: 7,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,945.82 : 10,968.84 = 5,432 : x
  2. Step 2: Convert to fraction form
    7,945.82/10,968.84 = 5,432/x
  3. Step 3: Cross multiply
    7,945.82x = 10,968.84 × 5,432
  4. Step 4: Simplify right side
    7,945.82x = 59,582,738.88
  5. Step 5: Solve for x
    x = 59,582,738.88/7,945.82
  6. Step 6: Final answer
    x = 7,498.63

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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.