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Finding the Fourth Proportional to 8,077.60, 12,112.80 and 3,696.48

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Solution

The fourth proportional to 8,077.60, 12,112.80 and 3,696.48 is: 5,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.60 : 12,112.80 = 3,696.48 : x
  2. Step 2: Convert to fraction form
    8,077.60/12,112.80 = 3,696.48/x
  3. Step 3: Cross multiply
    8,077.60x = 12,112.80 × 3,696.48
  4. Step 4: Simplify right side
    8,077.60x = 44,774,722.94
  5. Step 5: Solve for x
    x = 44,774,722.94/8,077.60
  6. Step 6: Final answer
    x = 5,543.07

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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.