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Finding the Fourth Proportional to 7,795.96, 10,769.81 and 6,746.20

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Solution

The fourth proportional to 7,795.96, 10,769.81 and 6,746.20 is: 9,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.96 : 10,769.81 = 6,746.20 : x
  2. Step 2: Convert to fraction form
    7,795.96/10,769.81 = 6,746.20/x
  3. Step 3: Cross multiply
    7,795.96x = 10,769.81 × 6,746.20
  4. Step 4: Simplify right side
    7,795.96x = 72,655,231.57
  5. Step 5: Solve for x
    x = 72,655,231.57/7,795.96
  6. Step 6: Final answer
    x = 9,319.60

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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.