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Finding the Fourth Proportional to 7,837.60, 11,826.22 and 7,533.82

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Solution

The fourth proportional to 7,837.60, 11,826.22 and 7,533.82 is: 11,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.60 : 11,826.22 = 7,533.82 : x
  2. Step 2: Convert to fraction form
    7,837.60/11,826.22 = 7,533.82/x
  3. Step 3: Cross multiply
    7,837.60x = 11,826.22 × 7,533.82
  4. Step 4: Simplify right side
    7,837.60x = 89,096,612.76
  5. Step 5: Solve for x
    x = 89,096,612.76/7,837.60
  6. Step 6: Final answer
    x = 11,367.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.