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Finding the Fourth Proportional to 7,822.96, 10,777.44 and 5,460.88

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Solution

The fourth proportional to 7,822.96, 10,777.44 and 5,460.88 is: 7,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.96 : 10,777.44 = 5,460.88 : x
  2. Step 2: Convert to fraction form
    7,822.96/10,777.44 = 5,460.88/x
  3. Step 3: Cross multiply
    7,822.96x = 10,777.44 × 5,460.88
  4. Step 4: Simplify right side
    7,822.96x = 58,854,306.55
  5. Step 5: Solve for x
    x = 58,854,306.55/7,822.96
  6. Step 6: Final answer
    x = 7,523.28

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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.