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Finding the Fourth Proportional to 7,803.36, 11,685.72 and 7,147.92

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Solution

The fourth proportional to 7,803.36, 11,685.72 and 7,147.92 is: 10,704.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.36 : 11,685.72 = 7,147.92 : x
  2. Step 2: Convert to fraction form
    7,803.36/11,685.72 = 7,147.92/x
  3. Step 3: Cross multiply
    7,803.36x = 11,685.72 × 7,147.92
  4. Step 4: Simplify right side
    7,803.36x = 83,528,591.70
  5. Step 5: Solve for x
    x = 83,528,591.70/7,803.36
  6. Step 6: Final answer
    x = 10,704.18

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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.