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Finding the Fourth Proportional to 7,871.24, 11,806.86 and 7,529.58

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Solution

The fourth proportional to 7,871.24, 11,806.86 and 7,529.58 is: 11,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.24 : 11,806.86 = 7,529.58 : x
  2. Step 2: Convert to fraction form
    7,871.24/11,806.86 = 7,529.58/x
  3. Step 3: Cross multiply
    7,871.24x = 11,806.86 × 7,529.58
  4. Step 4: Simplify right side
    7,871.24x = 88,900,696.92
  5. Step 5: Solve for x
    x = 88,900,696.92/7,871.24
  6. Step 6: Final answer
    x = 11,294.37

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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.