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Finding the Fourth Proportional to 7,833.60, 11,820.18 and 7,529.82

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Solution

The fourth proportional to 7,833.60, 11,820.18 and 7,529.82 is: 11,361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.60 : 11,820.18 = 7,529.82 : x
  2. Step 2: Convert to fraction form
    7,833.60/11,820.18 = 7,529.82/x
  3. Step 3: Cross multiply
    7,833.60x = 11,820.18 × 7,529.82
  4. Step 4: Simplify right side
    7,833.60x = 89,003,827.77
  5. Step 5: Solve for x
    x = 89,003,827.77/7,833.60
  6. Step 6: Final answer
    x = 11,361.80

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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.