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Finding the Fourth Proportional to 8,085.72, 11,158.16 and 4,941.92

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Solution

The fourth proportional to 8,085.72, 11,158.16 and 4,941.92 is: 6,819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.72 : 11,158.16 = 4,941.92 : x
  2. Step 2: Convert to fraction form
    8,085.72/11,158.16 = 4,941.92/x
  3. Step 3: Cross multiply
    8,085.72x = 11,158.16 × 4,941.92
  4. Step 4: Simplify right side
    8,085.72x = 55,142,734.07
  5. Step 5: Solve for x
    x = 55,142,734.07/8,085.72
  6. Step 6: Final answer
    x = 6,819.77

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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.