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Finding the Fourth Proportional to 7,844.02, 10,811.28 and 7,474.93

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Solution

The fourth proportional to 7,844.02, 10,811.28 and 7,474.93 is: 10,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.02 : 10,811.28 = 7,474.93 : x
  2. Step 2: Convert to fraction form
    7,844.02/10,811.28 = 7,474.93/x
  3. Step 3: Cross multiply
    7,844.02x = 10,811.28 × 7,474.93
  4. Step 4: Simplify right side
    7,844.02x = 80,813,561.21
  5. Step 5: Solve for x
    x = 80,813,561.21/7,844.02
  6. Step 6: Final answer
    x = 10,302.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.