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Finding the Fourth Proportional to 8,464.64, 11,679.74 and 5,278.93

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Solution

The fourth proportional to 8,464.64, 11,679.74 and 5,278.93 is: 7,284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.64 : 11,679.74 = 5,278.93 : x
  2. Step 2: Convert to fraction form
    8,464.64/11,679.74 = 5,278.93/x
  3. Step 3: Cross multiply
    8,464.64x = 11,679.74 × 5,278.93
  4. Step 4: Simplify right side
    8,464.64x = 61,656,513.88
  5. Step 5: Solve for x
    x = 61,656,513.88/8,464.64
  6. Step 6: Final answer
    x = 7,284.01

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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.