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Finding the Fourth Proportional to 8,462.64, 11,679.86 and 4,927.93

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Solution

The fourth proportional to 8,462.64, 11,679.86 and 4,927.93 is: 6,801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.64 : 11,679.86 = 4,927.93 : x
  2. Step 2: Convert to fraction form
    8,462.64/11,679.86 = 4,927.93/x
  3. Step 3: Cross multiply
    8,462.64x = 11,679.86 × 4,927.93
  4. Step 4: Simplify right side
    8,462.64x = 57,557,532.49
  5. Step 5: Solve for x
    x = 57,557,532.49/8,462.64
  6. Step 6: Final answer
    x = 6,801.37

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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.