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Finding the Fourth Proportional to 7,836.60, 11,824.71 and 7,532.82

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Solution

The fourth proportional to 7,836.60, 11,824.71 and 7,532.82 is: 11,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.60 : 11,824.71 = 7,532.82 : x
  2. Step 2: Convert to fraction form
    7,836.60/11,824.71 = 7,532.82/x
  3. Step 3: Cross multiply
    7,836.60x = 11,824.71 × 7,532.82
  4. Step 4: Simplify right side
    7,836.60x = 89,073,411.98
  5. Step 5: Solve for x
    x = 89,073,411.98/7,836.60
  6. Step 6: Final answer
    x = 11,366.33

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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.