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Finding the Fourth Proportional to 7,797.13, 10,759.64 and 4,259.66

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Solution

The fourth proportional to 7,797.13, 10,759.64 and 4,259.66 is: 5,878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.13 : 10,759.64 = 4,259.66 : x
  2. Step 2: Convert to fraction form
    7,797.13/10,759.64 = 4,259.66/x
  3. Step 3: Cross multiply
    7,797.13x = 10,759.64 × 4,259.66
  4. Step 4: Simplify right side
    7,797.13x = 45,832,333.03
  5. Step 5: Solve for x
    x = 45,832,333.03/7,797.13
  6. Step 6: Final answer
    x = 5,878.10

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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.