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Finding the Fourth Proportional to 7,154.92, 10,739.94 and 5,077.36

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Solution

The fourth proportional to 7,154.92, 10,739.94 and 5,077.36 is: 7,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.92 : 10,739.94 = 5,077.36 : x
  2. Step 2: Convert to fraction form
    7,154.92/10,739.94 = 5,077.36/x
  3. Step 3: Cross multiply
    7,154.92x = 10,739.94 × 5,077.36
  4. Step 4: Simplify right side
    7,154.92x = 54,530,541.76
  5. Step 5: Solve for x
    x = 54,530,541.76/7,154.92
  6. Step 6: Final answer
    x = 7,621.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.