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Finding the Fourth Proportional to 7,797.96, 10,742.94 and 5,435.88

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Solution

The fourth proportional to 7,797.96, 10,742.94 and 5,435.88 is: 7,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.96 : 10,742.94 = 5,435.88 : x
  2. Step 2: Convert to fraction form
    7,797.96/10,742.94 = 5,435.88/x
  3. Step 3: Cross multiply
    7,797.96x = 10,742.94 × 5,435.88
  4. Step 4: Simplify right side
    7,797.96x = 58,397,332.69
  5. Step 5: Solve for x
    x = 58,397,332.69/7,797.96
  6. Step 6: Final answer
    x = 7,488.80

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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.