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Finding the Fourth Proportional to 7,845.60, 10,795.92 and 7,241.76

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Solution

The fourth proportional to 7,845.60, 10,795.92 and 7,241.76 is: 9,965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.60 : 10,795.92 = 7,241.76 : x
  2. Step 2: Convert to fraction form
    7,845.60/10,795.92 = 7,241.76/x
  3. Step 3: Cross multiply
    7,845.60x = 10,795.92 × 7,241.76
  4. Step 4: Simplify right side
    7,845.60x = 78,181,461.62
  5. Step 5: Solve for x
    x = 78,181,461.62/7,845.60
  6. Step 6: Final answer
    x = 9,965.01

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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.