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Finding the Fourth Proportional to 8,054.64, 12,085.61 and 4,156.92

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Solution

The fourth proportional to 8,054.64, 12,085.61 and 4,156.92 is: 6,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054.64 : 12,085.61 = 4,156.92 : x
  2. Step 2: Convert to fraction form
    8,054.64/12,085.61 = 4,156.92/x
  3. Step 3: Cross multiply
    8,054.64x = 12,085.61 × 4,156.92
  4. Step 4: Simplify right side
    8,054.64x = 50,238,893.14
  5. Step 5: Solve for x
    x = 50,238,893.14/8,054.64
  6. Step 6: Final answer
    x = 6,237.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.