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Finding the Fourth Proportional to 6,159.81, 8,503.34 and 3,924.75

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Solution

The fourth proportional to 6,159.81, 8,503.34 and 3,924.75 is: 5,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.81 : 8,503.34 = 3,924.75 : x
  2. Step 2: Convert to fraction form
    6,159.81/8,503.34 = 3,924.75/x
  3. Step 3: Cross multiply
    6,159.81x = 8,503.34 × 3,924.75
  4. Step 4: Simplify right side
    6,159.81x = 33,373,464.04
  5. Step 5: Solve for x
    x = 33,373,464.04/6,159.81
  6. Step 6: Final answer
    x = 5,417.94

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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.